Question

Find: m∠1, m∠2, and m∠5 in degrees

Answer 1

m1 = 122

m2 = 58

m5 = 68

Explanation:

m2 = 180 - 54 - 68 = 58

m1 = 180 - m2 = 180 - 58 = 122

m5 = 180 - 58 - 54 = 68

Answer 2

<1 = 100

<2 = 80

Explanation:

Angle 1 and angle 2 are supplementary

Supplementary angles add to 180 degrees

<1 + <2 = 180

The angles are in a ratio of 5 to 4

Multiply by x to get the measure of each angle

<1 = 5x <2 = 4x

5x+4x = 180

Combine like terms

9x = 180

Divide by 9

9x/9 =180/9

x =20

<1 = 5x = 5*20 = 100

<2 = 4x = 4*20 = 80