Question

POQ is a straight line and the ray OR stands on it. If angle POR = (X + 45)° and angle QOR = (2x – 75 )° , find the value of angle POR and angle QOR.

a) (125°, 55°)
b) (130°, 50°)
c) (115°, 65°)​

Answer 1

Answer:

Answer is (c) (115⁰, 65⁰)

Step-by-step explanation:

According to question,

angle POR + angle QOR = 180⁰

(x + 45⁰) + (2x - 75⁰) = 180⁰

x + 2x + 45 - 75 = 180⁰

3x - 30 = 180⁰

3x = 180 + 30 = 210

x = 210 ÷ 3 = 70⁰

Therefore, angle [POR = x + 45⁰ = 70 + 45 = 115⁰]

angle [QOR = 2x - 75 = (2 × 70) - 75⁰ = 140 - 75 = 65⁰]