Question

N

Q
M
O
R
P
S
T
If NP and QS are parallel lines and mZSRO = 134°, what is m/QRO?

Answer 1

m∠QRO = 46°

Explanation:

In the question, we are told that m∠SRO = 134°, and we are asked to calculate m∠QRO.

In order to do that, we have to realise that since angles SRO and QRO are on a straight line, their measures add up to 180°. Therefore:

∠SRO + ∠QRO = 180°

⇒ 134° + ∠QRO = 180°

⇒ ∠QRO = 180° - 134°

⇒ ∠QRO = 46°

Therefore, m∠QRO = 46°.