Question 10a

WXYZ is a trapezium and PYR is an isosceles triangle where PY = YR. ∠WZY = 52°, ∠WQY = 74° and ∠QYR = 35°. Find ∠YRP. (2 marks)

$Question 10a diagram$

Answer: 39 °

Workings

Loading drawing…

∠ YRP is part of ▵ YQR

∠ YRP = 180 - 35 - ∠ YQR (blue)

∠ YQR (blue) → 180 - 74 = 106

∠ YRP = 180 - 35 - ∠ YQR (blue) = 180 - 35 - 106 = 39

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