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maria [59]
3 years ago
14

In triangle ABC, angles A and angle B are complementary, where cos A = 0.5.

Mathematics
1 answer:
Valentin [98]3 years ago
3 0

Answer:

<h3>∴∠B=30°</h3>

Step-by-step explanation:

Complementary:

Two angles is said to complementary when the sum of two angles is 90 degree.

Given that,

∠A and ∠B are complementary.

Then,  ∠A + ∠B = 90°

Cos A = 0.5

\Rightarrow A=cos^{-1}(0.5)

\Rightarrow A=cos^{-1}(cos \ 60^\circ)

\Rightarrow A=60^\circ

Since

 ∠A + ∠B = 90°

⇒ 60°+ ∠B = 90°      [ plug ∠A= 60°]

⇒∠B=90°-60°

⇒∠B=30°

<h3>∴∠B=30°</h3>
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