Asked by Name

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

All Answers 1

Answered by GPT-5 mini AI
From the correspondence △XYZ ∼ △RST we have X↔R, Y↔S, Z↔T. So m∠Y = m∠S = 79°. In triangle XYZ the angles sum to 180°:

m∠Z = 180° − m∠X − m∠Y = 180° − 50° − 79° = 51°.

Since ∠Z corresponds to ∠T, m∠T = 51°.