Question

I need the answer please ​

Answer 1

We know that:-

y + 106° = 180° [Linear pair]

y = 180° - 106°

y = 74°

In triangle PQR, we get:-

RP = RQ [Given]

<RPQ = <RQP [Angles opposite to equal sides]

<RQP = x

Now:-

<RPQ + <RQP + <PRQ = 180° [Angle sum property]

x + x + y = 180°

2x + 74° = 180°

2x = 180° - 74°

2x = 106°

x = 106°

2

x = 53°

Therefore:-

Option a)53° is the correct answer.