Question

Five times the measure of an angle is four times the measure of its complement. Find the measure of both the angles​

Answer 1

I dont now the answers sorry

Answer 2

Angles are 40° and 50°

Step-by-step explanation:

Let the first angle be x°.

Now, as we know that two angles are complementary angles if they add up to 90 degrees.

So,the complement of x  is (90 -x)°

Now according to question,

5 times x =  4 times (90-x)

⇒ 5x = 360 - 4x

or, 5x + 4x  = 360

⇒ 9x = 360, or  x = 40°

Hence, the complementary angle of x = (90 - 40)° = 50°