Question

If two angles are complementary and one of them is 77°, what is the size of the other angle?

Answer 1

To find the measure of the other angle that is complementary to 77°, subtract 77° from 90°, resulting in 13°.

Step-by-step explanation:

The student's question involves understanding complementary angles, which are two angles whose measures add up to 90 degrees. If one angle measures 77°, we can find the measure of the other angle by subtracting 77° from 90°.

Step-by-step explanation:

1. Know that the sum of complementary angles is 90°.
2. Subtract the given angle (77°) from 90° to find the measure of the other angle. 90° - 77° = 13°.
3. The measure of the other angle is therefore 13°.

Answer 2

13°

Step-by-step explanation:

Complementary angles add to 90 degrees, therefore,

∠1+∠2=90

We know one of the angles is 77 degrees, so we can substitute that in.

77+ ∠2=90

Subtract 77 from both sides to solve for the angle

∠2=13

So, the angle is 13 degrees