Question

please answer the question fast​

Answer 1

Answer:-

Given:-

• PQ || RS,
• ∠TRS = 98° &
• ∠TPQ = 35°.

To Find: Value of x.

Let us extend ray RS to M, such that MS || PQ.

So,

∠TMR = ∠TPQ (Corresponding Angles)

or, ∠TMR = 35°.

Also,

∠TRS + ∠TRM = 180° (Linear Pair)

→ ∠TRM = 180° - 98°

→ ∠TRM = 82°

NOW, finding value of (x) :-

We know,

Sum of interior angles of a triangle = 180°

∴ (x) + (∠TRM) + (∠TMR) = 180°

→ x + 82° + 35° = 180°

→ x + 117° = 180°

→ x = 180° - 117°

→ x = 63°

∴ Value of (x) in the given diagram in 63°.