△XYZ∼△RST . m∠X=50° , m∠S=79° . What is the measure of angle T ?(1 point)

Question

m∠T =

Answer 1

Since ∆XYZ ∼ ∆RST, we can use the property of similar triangles that corresponding angles are congruent.

Thus, we have m∠X = m∠R = 50° and m∠Y = m∠S = 79°.

Since the sum of angles in a triangle is 180°, we can find m∠Z in ∆XYZ:

m∠Z = 180° - m∠X - m∠Y
= 180° - 50° - 79°
= 51°

Since corresponding angles in similar triangles are congruent, we know that m∠Z in ∆XYZ is congruent to m∠T in ∆RST.

Therefore, m∠T = m∠Z = 51°. Answer: \boxed{51°}.