Question

∠A and ∠B are complementary. The measure of ∠A is 21°.

What is the measure of ∠B?

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Answer 1

`\displaystyle 69° = m\angle{B}`

Step-by-step Step-by-step explanation:

Complementary Angles sum up to ninety degrees, so do the following:

`\displaystyle 90° = 21° + m\angle{B} \\ \\ 69° = m\angle{B}`

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Answer 2

Question↷

∠A and ∠B are complementary. The measure of ∠A is 21°.

What is the measure of ∠B?

Answer↷

• 69°

Given↷

• Two complementary angles ⤿∠A & ∠B
• ∠A⤿21°

To find↷

• Measure of ∠B

Solution ↷

we know that,

• sum of two complementary angles ⤿90°

ATQ,

• ⤿∠A +∠B = 90°
• ⤿21° + ∠B = 90°
• ⤿∠B = 90° -21°
• ⤿∠B = 69°