Question

<A and <B are supplementry angles if <A:<B =7:8 find <A and <B​

Answer 1

∠A and ∠B are 84° and 96° respectively.

Step-by-step explanation

Given:-

• ∠A and ∠B are in ratio 7:8.

To find:-

• Measure of ∠A and ∠B

Solution:-

Let, ∠A and ∠B be 7x and 8x respectively.

We know that,

Sum of two supplementary angles is 180°

So,

➝ ∠A + ∠B = 180°

➝ 7x + 8x = 180°

➝ 15x = 180°

➝ x = 180°/15

➝ x = 12°

Verification:-

➝ ∠A + ∠B = 180°

➝ 7x + 8x = 180°

• Put x = 12°.

➝ (7×12)° + (8×12)° = 180°

➝ 84° + 96° = 180°

➝ 180° = 180°

Hence, Verified.

7x = 7 × 12 = 84°

8x = 8 × 12 = 96°

∠A = 7x = 84°

∠B = 8x = 96°

Therefore,

∠A and ∠B are 84° and 96° respectively.