Question

△RST ∼ △XYZ.
m∠R = 18°
, m∠S = 75°
. What is the measure of angle Z
?


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m∠Z =

Answer 1

Correspondence from the similarity: R ↔ X, S ↔ Y, T ↔ Z.

Find m∠T in △RST:
m∠T = 180° − m∠R − m∠S = 180° − 18° − 75° = 87°.

Since T corresponds to Z, m∠Z = 87°.