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In the diagram above, |XR| = |RY| = |YZ| and ∠XRY = &...

In the diagram above, |XR| = |RY| = |YZ| and ∠XRY = ∠YRZ = 62o, Calculate ∠XYZ

In the diagram above, |XR| = |RY| = |YZ| and ∠XRY = ∠YRZ = 62o, Calculate ∠XYZ

A.

50o

B.

62o

C.

112o

D.

115o

Correct answer is D

In triangle RXY, < RXY = < RYX (base angles of an isosceles triangle)

180° - 62° = 2 < RYX

118° = 2 < RYX < RYX = 59°

In triangle RYZ, < RZY = 62° (base angles of an isosceles triangle)

< RYZ = 180° - (62° + 62°)

= 180° - 124° = 56°

\therefore < XYZ = 56° + 59°

= 115°