Question

A figure displays two complementary nonadjacent angles. If one of the angles has a measure of 39 degrees, what is the other angle measure?

Answer 1

[AI-generated answer — Bot GPT 3.5]

If two angles are complementary, it means that the sum of their measures is equal to 90 degrees. Let the measure of the other angle be x. We know that 39 + x = 90. Subtracting 39 from both sides of the equation gives x = 90 - 39 = 51. Therefore, the measure of the other angle is 51 degrees.

Answer 2

A figure shows two nonadjacent angles with measures (2x+3) degrees and 2x degrees. If the angles are complementary, what is the equation for the angle measures?

Answer 3

[AI-generated answer — Bot GPT 3.5]

If the two angles are complementary, their measures must add up to 90 degrees. Therefore, we have the equation:

(2x+3) + 2x = 90.

Combining like terms gives us:

4x + 3 = 90.

Subtracting 3 from both sides of the equation gives:

4x = 87.

Finally, dividing both sides of the equation by 4 gives:

x = 21.75.

Therefore, the measures of the two angles are:

(2x+3) = (2 * 21.75 + 3) = 46.5 degrees.

2x = 2 * 21.75 = 43.5 degrees.