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3 years ago

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

Mathematics

1 answer:

andrew-mc [135]3 years ago

8 0

Answer:

1) x = 8

2) ∠RPS = 36°

Step-by-step explanation:

GIVEN :-

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

TO FIND :-

Value of x
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 :-

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

x = 8. So,

∠RPS = 3×8 + 12 = 24 + 12 = 36°

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Answer:

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Required

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Substitute -15 for X in $2a(b - 3) + 5(b + \frac{X}{5})$

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Answer:

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