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Bogdan [553]
3 years ago
15

In triangle ABC, angle a and b are complementary, where the cos A= 0.5. What is the angle measure of B in degrees?

Mathematics
2 answers:
aleksley [76]3 years ago
8 0

Angle B measures 30 degrees.

Step-by-step explanation:

Step 1:

If two angles are complementary, the sum of the two angles will equal 90°.

So if angles A and B are complementary, the sum of the angles A and B will equal 90°.

It is given that cos A = 0.5, we can determine the value of A by taking the cos inverse of the value 0.5.

Step 2:

If cos A = 0.5, A = cos^{-1} (0.5) = 60^\circ. So angle A is 60°.

As A and B are complementary, angle A + angle B = 90°.

So 60° + angle B = 90°, angle B = 90° - 60° = 30°.

So angle B measures 30° while angle A measures 60°.

LekaFEV [45]3 years ago
3 0

Answer:1/2

Step-by-step explanation:

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