help please
One angle measures 25° and another angle measures (3d − 10)°. If the angles are complementary, what is the value of d?


d = 55

d = 35

d = 25

d = 11.7

Respuesta :

If the angles are complementary, the value of d is C. d = 25.

What are complementary angles?

Complementary angles are two angles whose measures add up to 90° . In the figure below, ∠1 and ∠2 are complementary. Two angles need not be adjacent to be complementary. When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles

In this case, it will be:

25 + 3d - 10 = 90

3d + 15 = 90

Collect like terms

3d = 90 - 15.

3d = 75.

Divide

d = 75/3

d = 25

The correct option is C.

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