Step 1: Draw a right triangle. Label the acute angles as angles A and B. Label the right angle as angle C. Step 2: Prove the acute angles of a right triangle are complementary. Given: Triangle ABC with angle C a right angle Prove: Angle A and angle B are complementary.

Question

Mathematics

Janiyah Pittman

Today, 10:08

Step 1: Draw a right triangle. Label the acute angles as angles A and B. Label the right angle as angle C. Step 2: Prove the acute angles of a right triangle are complementary. Given: Triangle ABC with angle C a right angle Prove: Angle A and angle B are complementary.

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Answers (1)

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Karma Love · Answer 1

proved

Step-by-step explanation:

In Triangle ABC angle C is 90°

Also we know that ∠A + ∠B+∠C = 180° ... 1

now since ∠C = 90°

putting ∠C = 90° in 1 we get

⇒∠A + ∠B = 180°-90°

⇒∠A + ∠B = 90°

Since, sum of angle A and B is 90° therefore they are complementary to each other.