Question

PQR and XYZ are straight lines,

PR is parallel to XZ.
PY = QY
Work out the value of A.
Give reasons for your answer​

Answer 1

Explanation:

∠PQY + ∠RQY = 180 {STRAIGHT LINE}

∠PQY + 118 = 180

∠PQY = 180 - 118

∠PQY = 62

PY = QY

Therefore, ∠QPY = ∠PQY {angles opposite to equal sides are equal}

∠QPY = 62

PR // XZ & YP is transversal

∠XYP = ∠QPY {Alternate interior angles are equal}

a = 62°