34. In the given quadrilateral ABCD, pº + q° = 100°.
aº = 140° and
rº=1/2(a+q). Find the angles pº,q,r,s.
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Step-by-step explanation:
line AB is straight line=180⁰.
p⁰+a⁰=180⁰
a⁰=140⁰
p⁰=180⁰-140⁰=40⁰
q⁰=100⁰-p⁰
=100⁰-40⁰=60⁰.
AB||CD.
angle a⁰=angle s⁰=140⁰(Alternative angles are equal)
b⁰+q⁰=180⁰(straight line)
b⁰=180⁰-60⁰=120⁰.
b⁰=r⁰=120⁰(Alternative angles are equal).
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