Question

9. In the adjoining figure, PQ || RS. Then find the value of x.
Please solve step by step.​

Answer 1

Answer:

rcb = 120°

acb = 30°

ok now give me marks

Answer 2

Answer:

x = 40°

Step-by-step explanation:

Given:-

PQC=120°

ARC=100°

QCR=x°

Take PQ and RS at the same level

Construction:- Join Q and R

PQRS is a straight line (PQ||RS)

Now,

PQC+CQR=180° (Linear Pair)

=> 120°+CQR=180°

=>CQR=180°-120°

Therefore, CQR=60°

Similarly,

SRC+CRQ=180 (Li ear Pair)

=>100°+CRQ=180°

=>CRQ=180°-100°

Therefore, CRQ=80°

In ∆QCR,

QCR+CQR+CRQ=180° {Angle Sum

Property)

=>x°+60°+80°=180°

=>x°-140°=180°

=>x°=180°-140°

Therefore, x° = 40°