Angle Relationships and Unknown Angles

Two vertical angles are labeled as ∠J and ∠K. The measure of ∠J is 34.2°. The measure of ∠K is (4x - 11)°. Solve for x.

• 11.3

• 16.7

• 34.2

• 39.2

Indicate whether each statement is true or false. The sum of the measures of ∠ABG and ∠CBA is always equal to 90°.

• True

• False

Indicate whether each statement is true or false. The measure of ∠CBG is always equal to the measure of ∠FBD.

• True

• False

Indicate whether each statement is true or false. The sum of the measures of ∠DBC, ∠CBA, and ∠ABG is always equal to 180°.

• True

• False

Indicate whether each statement is true or false. The measure of ∠GBF is always equal to the measure of ∠EBD.

• True

• False

Indicate whether each statement is true or false. The sum of the measures of ∠CBA, ∠FBG, and ∠EBD is always equal to 180°.

• True

• False

Indicate whether each statement is true or false. The sum of the measures of ∠ABG, ∠GBF, ∠FBE, and ∠DBC is always equal to 360°.

• True

• False

Solve for x given that m∠ABG = (3x + 9)°, m∠FBE = (2x – 4)°, and m∠GBF = 110°.

The diagram shows line MK intersecting line HJ and line HL at point H. Part A: Write an equation that can be used to solve for x.

• 2x+47+x-32=180

• y+x-32=90

• 3x+15=180

• Cannot solve

What is the measure of angle JHK?