Answer:

43° and  47°

Explanation:

Complementary angles are 2 angles whose sum is 90 degrees

Hence 2x+5 and 3x−10 , sum to 90.

⇒2x+5+3x−10=90← equation to be solved

⇒5x−5=90

add 5 to both sides of the equation.

5x−5+5 = 90+5

⇒ 5x = 95

To solve for x, divide both sides by 5.

5x | 5 = 95 | 5

⇒ x=19 is the solution

The 2 angles are therefore.

2x+5 = (2×19) + 5 = 43°

and 3x−10 = (3×19) − 10 = 47°

#BrainLy