Solving problems involving angles and equations

Match the following

• 20

• d

• 121

• e

• 39

• f

If the measure of < 5 is 42, what is the measure of <4?

• 42
• 48
• 118
• 128

Which equation is correct in order to find the value of x?

• (3x-35) + 130 = 180

• (3x-35) = 130

• (3x-35) + 130 = 90

• (3x-35) + 130 = 360

If they are adjacent angles, then they share one vertex and one ray.

• Linear pair theorem

• Definition of adjacent angles

• Definition of vertical angles

CHALLENGE: Find the values of x and y.

• x=7 ; y=25
• x=5 ; y=25
• x=7 ; y=5
• x=5; y=5

Find the values of y and z.

• y=76, z=114

• y=104, z=76

• y=76, z=104

• z=114, y=76

Measure of <2?

Which is the correct reason for statement 1 in the proof?

• Definition of Congruent Angles
• Substitution
• Transitive Property
• Given

Answer explanation

Vertical Angles are non-adjacent angles that are across from each other in intersecting lines. They are congruent (equal in measure).

Angle 3 =

• 32
• 65
• 115
• 148