Angle and Triangle Relationships

Triangle Sum

100

What is the sum of the interior angles of a triangle?

180

200

Determine the measure of angle Q.

93 degrees

300

Which equation represents the angle relationship?

a) 75+x=50

b) 50+75=x

c) 50+x=75

d) x+50+75=180

d) x+50+75=180

400

Determine the measure of angle x

x=55

500

Determine the measure of the missing angle

67

Exterior Angle Theorem

100

Determine the two remote interior angles for angle d

angle c and angle a

200

Determine the measure of angle d if angle a=59 and angle b= 61

120

300

Based on the diagram, which statement is true?

• A) The measure of an exterior angle of a triangle, angle C, is equal to the sum of the measures of the two non-adjacent interior angles of the triangle, angle A and angle B.
• B) The sum of the measures of the interior and exterior angles of a triangle is always 180°.
• C) The measure of an exterior angle of a triangle, angle C, is less than the sum of the measures of the two non-adjacent interior angles of the triangle, angle A and angle B.
• D) The sum of the measures of the interior and exterior angles of a triangle is always 360°.

A) The measure of an exterior angle of a triangle, angle C, is equal to the sum of the measures of the two non-adjacent interior angles of the triangle, angle A and angle B.

400

Determine the measure of angle C.

C=140

500

What statement about x is true?

a) x = 156, because 180 - (103 + 53) =24 and    180 - 24 = 156

b) x = 20, because 103 + 53 = 156 and              180 - 156 = 24

c) x = 130, because 180 - 103 = 77 and                  77 + 53 = 130

d) x = 336, because 103 + 53 = 156 and            156 + 180 = 336

a) x = 156, because 180 - (103 + 53) =24 and    180 - 24 = 156

Parallel Lines cut by a Transversal

100

What is the relationship between angle 1 and 4

Vertical angles

200

If the measure of angle 1 is 50 what is the measure of angle 2

130

300

In each diagram, line r is parallel to line s, and line t intersects lines r and s.

 

 

Based on the given diagrams, which statement about the value of x in the diagram below is true?

 

• A) The value of each x is 32° because each x angle and the given angle measuring 148° are supplementary, 148° + 32° = 180°.
• B) The value of each x is 160° because each angle shown in the pattern measures 160°.
• C) The value of each x is 148° because all of the labeled angles are congruent.
• D) The value of each x cannot be determined from the given pattern.

C) The value of each x is 148° because all of the labeled angles are congruent.

400

Determine the measure of angle 1

102

500

Determine the value of x

x=20