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0 votes
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in Lines and Angles by (38.0k points)
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In Fig., if CP || DQ, then the measure of x is

A. 130°

B. 105°

C. 175°

D. 125°

1 Answer

+1 vote
by (36.4k points)
selected by
 
Best answer

Given that,

CP ‖ BQ

Produce CP to E

So,

PE ‖ BQ and AB cuts them

∠QBE = ∠CBA = 105°(Corresponding angles)

In ΔECA

∠CEA + ∠ECA + ∠EAC = 180°

105° + ∠ECA + 25° = 180°

∠ECA = 50°

∠PCA + ∠ECA = 180°(Linear pair)

x + 50° = 180°

x = 130°

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