by BlastRoom
Adding adjacent angle measures and splitting an angle in two with a bisector.
#geometry

40 questions
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Ray UY lies inside angle TUV. If the measure of angle TUY = 73 degrees and the measure of angle YUV = 23 degrees, what is the measure of angle TUV?

Ray YJ bisects angle XYZ. If the measure of angle XYZ = 86 degrees, what is the measure of angle XYJ?

Ray ES bisects angle DEF. If the measure of angle DES = 3x - 11 and the measure of angle SEF = 2x + 10, what is x?

Ray MT lies inside angle LMN. If the measure of angle LMN = 78 degrees and the measure of angle LMT = 35 degrees, what is the measure of angle TMN?

Ray QW lies inside angle PQR. If the measure of angle PQR = 87 degrees and the measure of angle PQW = 45 degrees, what is the measure of angle WQR?

Ray WA lies inside angle VWX. If the measure of angle VWA = 60 degrees and the measure of angle AWX = 38 degrees, what is the measure of angle VWX?

Ray CN bisects angle BCD. If the measure of angle BCD = 62 degrees, what is the measure of angle BCN?

Ray JS lies inside angle HJK. The measure of angle HJS = 3x + 12, the measure of angle SJK = 4x, and the measure of angle HJK = 138 degrees. What is x?

Ray NU lies inside angle MNP. If the measure of angle MNP = 121 degrees and the measure of angle MNU = 58 degrees, what is the measure of angle UNP?

Ray BP bisects angle ABC. If the measure of angle ABP = 5x - 14 and the measure of angle PBC = 2x + 7, what is x?

Ray WE lies inside angle VWX. The measure of angle VWE = 3x + 5, the measure of angle EWX = 2x, and the measure of angle VWX = 95 degrees. What is x?

Ray NU lies inside angle MNP. If the measure of angle MNP = 112 degrees and the measure of angle MNU = 50 degrees, what is the measure of angle UNP?

Ray DH lies inside angle CDE. If the measure of angle CDH = 19 degrees and the measure of angle HDE = 71 degrees, what is the measure of angle CDE?

Ray UE bisects angle TUV. If the measure of angle TUV = 152 degrees, what is the measure of angle TUE?

Ray EQ bisects angle DEF. If the measure of angle DEF = 134 degrees, what is the measure of angle DEQ?

Ray XB lies inside angle WXY. What is the measure of angle WXY?

Ray CL lies inside angle BCD. The measure of angle BCL = 6x + 4, the measure of angle LCD = 3x, and the measure of angle BCD = 139 degrees. What is x?

Ray SC bisects angle RST. If the measure of angle RST = 118 degrees, what is the measure of angle RSC?

Ray JQ lies inside angle HJK. If the measure of angle HJK = 121 degrees and the measure of angle HJQ = 54 degrees, what is the measure of angle QJK?

Ray LQ lies inside angle KLM. If the measure of angle KLQ = 50 degrees and the measure of angle QLM = 38 degrees, what is the measure of angle KLM?

Ray SY lies inside angle RST. If the measure of angle RST = 78 degrees and the measure of angle RSY = 40 degrees, what is the measure of angle YST?

Ray RB bisects angle QRS. If the measure of angle QRS = 98 degrees, what is the measure of angle QRB?

Ray ES bisects angle DEF. If the measure of angle DES = 5x - 9 and the measure of angle SEF = 3x + 11, what is x?

Ray MV lies inside angle LMN. The measure of angle LMV = 6x + 4, the measure of angle VMN = 3x, and the measure of angle LMN = 112 degrees. What is x?

Ray VZ lies inside angle UVW. If the measure of angle UVZ = 59 degrees and the measure of angle ZVW = 38 degrees, what is the measure of angle UVW?

Ray JN lies inside angle HJK. If the measure of angle HJN = 48 degrees and the measure of angle NJK = 38 degrees, what is the measure of angle HJK?

Ray LY bisects angle KLM. If the measure of angle KLY = 6x - 5 and the measure of angle YLM = 4x + 7, what is x?

Ray SY lies inside angle RST. If the measure of angle RST = 149 degrees and the measure of angle RSY = 78 degrees, what is the measure of angle YST?

Ray UE bisects angle TUV. If the measure of angle TUV = 62 degrees, what is the measure of angle TUE?

Ray PZ bisects angle NPQ. If the measure of angle NPQ = 74 degrees, what is the measure of angle NPZ?

Ray GQ lies inside angle FGH. The measure of angle FGQ = 5x + 10, the measure of angle QGH = 2x, and the measure of angle FGH = 136 degrees. What is x?

Ray EJ lies inside angle DEF. If the measure of angle DEJ = 31 degrees and the measure of angle JEF = 47 degrees, what is the measure of angle DEF?

Ray LU lies inside angle KLM. The measure of angle KLU = 3x + 12, the measure of angle ULM = 4x, and the measure of angle KLM = 68 degrees. What is x?

Ray XK bisects angle WXY. If the measure of angle WXK = 6x - 5 and the measure of angle KXY = 4x + 7, what is x?

Ray FP lies inside angle EFG. The measure of angle EFP = 6x + 4, the measure of angle PFG = 3x, and the measure of angle EFG = 166 degrees. What is x?

Ray XK bisects angle WXY. If the measure of angle WXK = 4x - 7 and the measure of angle KXY = 2x + 5, what is x?

Ray LS lies inside angle KLM. If the measure of angle KLM = 134 degrees and the measure of angle KLS = 67 degrees, what is the measure of angle SLM?

Ray RX lies inside angle QRS. If the measure of angle QRS = 121 degrees and the measure of angle QRX = 61 degrees, what is the measure of angle XRS?

Ray VD lies inside angle UVW. The measure of angle UVD = 2x + 6, the measure of angle DVW = 5x, and the measure of angle UVW = 118 degrees. What is x?

Ray WC lies inside angle VWX. If the measure of angle VWX = 134 degrees and the measure of angle VWC = 77 degrees, what is the measure of angle CWX?

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Geometry Vocabulary and Notation
40 questions