Question

SPAMS WILL BE REPORTED!!! ​

Answer 1

Answer:

Option A

16°

Step-by-step explanation:

7x+20°+3x=180°

10x=180°-20°

x=160°/10

x=16°

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Answer 2

✪ Question ✪

In figure, if ∠BOC = 7x + 20° and ∠COA = 3x, the magnitude of x which makes AOB a straight angle

A) 16°

B) 45°

C) 32°

D) 49°

✪ Given ✪

• ∠BOC = (7x + 20)°
• ∠COA = 3x°

✪ To find ✪

The magnitude of x.

✪ Solution ✪

Measure of a straight angle is 180°.

So we can say-

(7x + 20) + 3x = 180

⇒7x + 20 + 3x = 180

⇒10x + 20 = 180

⇒10x = 180 - 20

⇒10x = 160

⇒x = 160/10

⇒x = 16

✪ Hence ✪

x = 16

✪ Therefore ✪

The magnitude of x which makes AOB a straight angle is 16°.

So, the correct option is A) 16°.

-------------------------------------------------------------

✪ Verification ✪

(7x + 20) + 3x = 180

⇒7x + 20 + 3x = 180

⇒10x + 20 = 180

⇒(10×16) + 20 = 180

⇒160 + 20 = 180

⇒180 = 180

So, L.H.S = R.H.S.

Hence, verified.

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