Angle Relationships & Equations

Find the value of "a"

Answer explanation

Set up an equation.

0a + 126= 5a + 86

Remember 0a = 0

As a result, the equation is

126 = 5a +86

Solve the two-step equation.

Isolate the variable by using inverse operations.

Subtract 86 on both sides.

Then divide both sides by 5.

Find the value of a.

Answer explanation

Set up an equation.

67 - 13a = 51 - 5a

Add 13a on both sides

Subtract 51 on both sides

67-51 = -5a + 13a

Combine like terms and then solve for a.

Find the value of angle B.

Answer explanation

Supplementary angles = 180˚

Vertical angles are congruent

Find the measure of angle CBD.

Find the measure of angle ABC.

Find the measure of angle ABC.

Find the measure of angle ABC.

Solve for y.

Find the measure of angle ABC.

Find the measure of angle CBD.