121k views
2 votes
39an angle measures 76° less than the measure of a complementary angle. what is the measure of each angle?

1 Answer

2 votes

Answer:

14 ° and 76 °

Explanation:

We have that two angles are complementary, if the sum of their amplitudes is 90 °.

The complementary angles need not be consecutive or have any point in common.

Alpha and Beta are complementary if:

Alpha + Beta = 90 °

In this case it would be:

X - 76 ° = 90 °

X = 90 ° - 76 °

X = 14 °

Which means that each angle measures 14 ° and 76 °

User Jurchiks
by
4.9k points