Question

Find the measure of each acute angle.

The measure of the top-left angle in the triangle is__º and the measure of the bottom-right angle is__º.

Answer 1

the top angle is 48

the bottom right angle is 42

Explanation:

The sum of the angles of a triangle is 180

90 + 8x+7x = 180

Combine like terms

90 +15x = 180

Subtract 90 from each side

15x = 180-90

15x = 90

Divide by 15

15x/15 =90/15

x = 6

8x = 8*6 = 48 so the top angle is 48

7x = 7*6 = 42 so the bottom angle is 42

Answer 2

Solution given:

8x°+7x°+90°=180°[sum of interior angle of a triangle is 180°]

15x=180°-90°

x=90/15

x=6°

8x=8*6=48°

7x=7*6=42°