Question

Find the measure of each acute angle. Thank you!

Answer 1

55 for the top left and 35 for the top right

Explanation:

The sum of the angles of a triangle is 180 degrees

7x+6 + 6x -7 + 90 = 180

Combine like terms

13x+89 = 90

Subtract 89 from each side

13x+89-89 = 180-89

13x = 91

Divide by 13

13x/13 = 91/13

x =7

The top left angle is

7x+6

7*7+6 = 49+6 = 55

The top right angle is

6x-7

6*7-7 = 42-7 = 35