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Angles of a Parallelogram

Question 32If...

Question

Question 32
If PQRS is a parallelogram, then $∠ P - ∠ R$ is equal to
a) $60^{\circ}$
b) $90^{\circ}$
c) $80^{\circ}$
d) $0^{\circ}$

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Solution

In a parallelogram, opposite angles are equal. Therefore, $∠ P - ∠ R = 0$ , as $∠ P$ and $∠ R$ are opposite angles.

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∠ P = 130^{\circ}, ∠ Q = 110^{\circ}

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Question 29

In $Δ P Q R$ , if $∠ P = 60^{\circ}$ and $∠ Q = 40^{\circ}$ , then the exterior angle formed by producing QR is equal to

a) $60^{\circ}$
b) $120^{\circ}$
c) $100^{\circ}$
d) $80^{\circ}$

In the given figure, PQRS is a parallelogram and ∠R is 100^o then ∠Q is

∠ D A B = 60^{\circ}, ∠ A B D = 50^{\circ}

∠ A B C

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∠ A O B = 90^{\circ} a n d ∠ A B C = 30^{\circ}, t h e n ∠ C A O

30^{\circ}

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60^{\circ}

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