Question

PQRS is a trapezium in which PQ || RS. If ZP = Q = 40°, what are the measures of the
other two angles?
A​

Answer 1

Correct Question:-

• PQRS is a trapezium in which PQ || RS. If ∠P = ∠Q = 40°. What are the measures of the other two angles?

Given:-

• PQRS is a trapezium in which PQ || RS.

• ∠P = ∠Q = 40°.

To Find:-

• Measures of the other two angles.

Theorem used:-

• Sum of Co. interior angles of a parallelogram is 180°. ____{1}

Solution:-

$⟹\:∠P + ∠S = 180°$ {from 1}

$⟹\:40° + ∠S = 180°$

$⟹\: ∠S = 180°-40°$

${\boxed{⟹\: ∠S = 140°}}$

Similarly,

$⟹\:∠Q + ∠R = 180°$

$⟹\:40° + ∠R = 180°$

$⟹\: ∠R = 180°-40°$

${\boxed{⟹\: ∠R = 140°}}$

Hence, the measure of other two angles of the given trapezium is 140° each.

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