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. *​

Answer 1

Answer:

Step-by-step explanation:

Given that POQ is a straight line.

The ray OR stands on it.

So <POR+ <QOR=180°( linear pair)

=> x+45°+2x-75°=180°

=> 3x-30°=180°

=> 3x=180°+30°

=> 3x=210°

=> x=210°/3=70°

So <POR=x+45°=70°+45°=115°

And<QOR=2×70°-75°=140°-75°=65°

Thus, <POR=115° and <QOR=65°.

Hope you got it and it is helpful to you

Answer 2

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]