Question

SOMEONE PLZZZ HELP ME THIS IS DUE IN LIKE 5 MINS (I WILL MARK BRAINLIEST)

Answer 1

Answer:

1) x = 8

2) ∠RPS = 36°

Step-by-step explanation:

GIVEN :-

• ∠QPS = 180°
• ∠QPR = 7x + 88
• ∠RPS = 3x + 12

TO FIND :-

1. Value of x
2. Measure of ∠RPS

FACTS TO KNOW BEFORE SOLVING :-

In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.

PROCEDURE :-

1)

Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.

⇒ ∠QPR & ∠RPS are linear pair.

⇒ ∠QPR + ∠RPS = 180°

⇒ 7x + 88 + 3x + 12 = 180°

⇒ 10x + 100 = 180

⇒ 10x = 180 - 100 = 80

⇒ x = 80/10 = 8

2)

x = 8. So,

∠RPS = 3×8 + 12 = 24 + 12 = 36°