Question

Solve for x and find the measurements of the angles

Answer 1

118

Explanation:

AB and CD are parallel lines

∠ ABC + ∠DCB = 180 {Co- interior angles are supplementary}

3n - 47 + n + 7 = 180

3n + n - 47 + 7 = 180 {Combine like terms}

4n - 40 = 180

Add 40 to both sides

4n = 180 + 40

4n = 220

Divide both sides by 4

n = 220/4

n = 55

∠ABC = 3n - 47 = 3*55 - 47

= 165 - 47

∠ABC = 118