△XYZ∼△RST . m∠X=50° , m∠S=79° . What is the measure of angle T ?

Question

m∠T = ___

Answer 1

102°

Since ∆XYZ∼∆RST, the corresponding angles are equal. Therefore, if m∠X = 50°, then m∠R = 50°. Similarly, if m∠S = 79°, then m∠T = 79°.

m∠T = 79° + 23° = 102°.