Ans30 â ‹Q30 Given that LM || NQ, LMP = 135 and â ‹â ‹ QNP - Maths - Lines and Angles

Question

Ans30

â€‹Q30 Given that LM || NQ, ∠ LMP = 135°
and â€‹â€‹ ∠ QNP =120°
Find the value of x

A 60°

B 75°

C 135°

D 120°

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

Draw AB ∥ LM ∥NQAs interior angles of the same sides of transversal are supplementary,So,∠LMP +∠ APM=180°135°+ ∠APM=180°∠ APM=45°and∠QNP + ∠BPN=180°120°+∠BPN=180°∠BPN=60°Now,∠APM + x + ∠BPN=180°      linear Pair45°+x+60°=180°x=75°   ANS
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Ans30 ​Q30. Given that LM || NQ, ∠ LMP = 135° and ​​ ∠ QNP =120°. Find the value of x. A. 60° B. 75° C. 135° D. 120°

Ans30

Q30. Given that LM || NQ, $∠$ LMP = 135° and $∠$ QNP =120°. Find the value of x.

A. 60°

B. 75°

C. 135°

D. 120°