Question

In the given figure, PQ ll RS, find the value of x.

(a) 73°

(b) 50°

(c) 127°

(d) 40°​

Answer 1

Answer:

(a) 73°

correct answer

Step-by-step explanation:

I hope you understand it.

Answer 2

Given: A figure is given where PQ║RS.

To find: The value of $x$

Solution:

In the given figure we have,

PQ║RS

∠ACS $=123^o$

∠PAB $=50^o$

Now we know from the concept of angles made by parallel lines that,

∠PAB = ∠ABC (∵They are alternate angles for PQ║RS)

Now in ΔABC, using the corollary that,

Exterior angles = Sum of two opposite interior angles we can see,

∠ACS = ∠BAC + ∠ABC

⇒$123 = x+50$

⇒ $x = 123-50$

⇒ $x = 73^o$

Final answer:

Hence the value of $x$ is $73^o$ that is option(a) is correct.