△XYZ∼△RST . m∠X=50° , m∠S=79° . What is the measure of angle T ?(1 point) m∠T = °
To find the measure of angle T, we can use the fact that corresponding angles of similar triangles are congruent.
Since ∆XYZ∼∆RST, angle X corresponds to angle R and angle Y corresponds to angle S.
Therefore, angle T corresponds to angle Z.
Since angle X = 50°, angle S = 79°, we can find angle Z as:
m∠Z = 180 - (m∠X + m∠Y) = 180 - (50 + 79) = 180 - 129 = 51°
Therefore, m∠T = 51°.