Question

For what value of x is I || m ? Then find the measure of the corresponding angles.

Answer 1

for I || m , the corresponding angles should be equal.

so,

2x + 14 = 180 - (5x + 12)

2x + 14 = 180 - 5x - 12

7x = 180 - 12 - 14

7x = 180 - 26

7x = 154

x = 154/7

x = 22

so the angles will be'

2x + 14 = 2(22) + 14 = 44 + 14 = 58 degrees

and

5x + 12 = 5(22) + 12 = 110 + 12 = 122 degrees