7.2 Quiz Study Guide – Angle Relationships and Triangles

Match the terms with their definitions by pairing each term with the correct description.

• Exterior angles of a triangle have one of these angles with which it is supplementary.

• Line segment

• Part of a line containing two endpoints and all the points in between.

• Exterior angles

• Formed by one side of the triangle and an extension of the adjacent side.

• Interior angles

• Each triangle has three of these angles inside the triangle.

• Adjacent angle

• The two angles that are not adjacent to the exterior angle.

• Remote interior angles

Tags

CCSS.8.G.A.5

Match the terms with their definitions by pairing each term with the correct description.

• The point where line segments meet.

• Vertex

• Formed by three line segments that intersect at their endpoints.

• 180 degrees

• 90 degree angle, often marked with a square.

• Triangle

• The sum of the measures of interior angles of a triangle.

• Right angle

Tags

CCSS.4.G.A.1

In the triangle shown, two interior angles measure 75° and 39°. Find the measure of the third angle.

• 56°

• 66°

• 72°

• 84°

Tags

CCSS.8.G.A.5

In the right triangle shown, one acute angle measures 57°. Find the measure of the remaining acute angle k.

• 23°

• 29°

• 33°

• 37°

Tags

CCSS.7.G.B.5

Set up and solve for x: A triangle has angle measures x+59°, 84°, and x+51°. What value of x makes these angles form a triangle?

• -9

• -7

• 7

• 14

Tags

CCSS.8.G.A.5

Set up and solve for x: A triangle has top angle 132° and base angles labeled 2x+3° and 3x°. What is x?

• 7

• 8

• 9

• 10

Tags

CCSS.8.G.A.5

Use the Exterior Angle Theorem: In a triangle, an exterior angle measures 145° and one remote interior angle measures 80°. Find the measure of the other remote interior angle x.

• 55°

• 60°

• 65°

• 70°

Tags

CCSS.8.G.A.5

Use the Exterior Angle Theorem: A triangle has an exterior angle measuring 135°. One of the remote interior angles is a right angle (90°), and the other remote interior angle is x. Find x.

• 35°

• 40°

• 45°

• 50°

Tags

CCSS.8.G.A.5

Set up an equation to solve for x using the Exterior Angle Theorem: In the figure, the exterior angle at one vertex measures 19x−1 degrees and the two remote interior angles measure 10x+10 degrees and 52 degrees. Find x.

• 5

• 6

• 7

• 8

Tags

CCSS.8.G.A.5

Set up an equation to solve for x using the Exterior Angle Theorem: In the figure, an exterior angle measures 8x−2 degrees and the two remote interior angles measure 46 degrees and 3x−3 degrees. Find x.

• 7

• 8

• 9

• 10

Tags

CCSS.8.G.A.5