Question

Angle a and angle b are supplymentary
Angle . If angle a:angle b =3:7,then angle b=

Answer 1

Answer:

126°

Step-by-step explanation:

Refer to image for step by step solution

Answer 2

$\large{\boxed{\bf{AnswEr\ :-}}}$

Value of ∠B is 126°.

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Given :-

• Angle a and b are supplementary.

• a : b = 3 : 7

To Find :-

• Value of ∠B

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$\large{\boxed{\bf{Solution}}}$

★ Put x in the ratio

Then,

angles = 3x, 7x

• We know that sum of supplementary angles is always 180°.

So,

3x + 7x = 180

=> 10x = 180

=> x = 180/10

=> x = 18°

Put the value of x in the ratio

3x = 3 × 18 = 54° = ∠A

7x = 7 × 18 = 126° = ∠B

Hence, the value of ∠A and ∠B are 54° and 126° respectively.

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