Question

angle 13= 4x+11 angle 14= 3x+1

Answer 1

4x+11+3x+1=180
7x+12=180
7x=168
x=24

4(24)+11
angle 13=107

3(24)+1
angle 14=73

Answer 2

Angles 13 and 14 form a straight line, so this means they must add up to 180 degrees.

• Make them add up to 180 in an equation.

(4x + 11) + (3x + 1) = 180

• Combine like terms.

7x + 12 = 180

• Subtract 12 from both sides.

7x = 168

• Divide both sides by 7.

x = 24

• Plug 24 for x into angle 13 and 14.

Angle 13 = 4(24) + 11 = 107

Angle 14 = 3(24) + 1 = 73