Angles and Triangles

Which of the angles below are vertical angles?

• ∠1 and ∠2

• ∠2 and ∠4

• ∠4 and ∠3

• ∠4 and ∠1

Determine which equation below can be solved to find the value of ∠A.

• x + 45 + 63 = 180

• x + 90 + 63 = 180

• x + 45 + 63 = 90

• x + 90 + 63 = 360

Using the diagram below, determine which statement is true.

• angle Y is an acute angle

• angles X and Z are adjacent

• angles X and Y are supplementary

• angles Y and Z are adjacent

Daniel is given the following information to construct a triangle. Determine what type of triangle will be constructed: 80°, 30°, and 70° angles.

• a unique triangle

• more than one triangle

• no triangle

• a right triangle

Which of the following sets of lengths cannot form a triangle?

• 15 m, 10 m, 5 m

• 9 m, 9 m, 9 m

• 7 m, 24 m, 18 m

• 13 m, 13 m, 25 m

Which of the following sets of lengths can form a triangle?

• 8 m, 15 m, 25 m

• 6 m, 5 m, 13 m

• 6 m, 6 m, 12 m

• 9 m, 4 m, 7 m

What is the measure of ∠AFD?

• 30°

• 110°

• 70°

• 150°

What is the measure of ∠CFD?

• 0°

• 100°

• 50°

• 150°

Which of the following is a set of ADJACENT angles?

• ∠CFD and ∠EFD

• ∠AFB and ∠DFE

• ∠AFC and ∠DFB

• ∠BFC and ∠DFE

Which pair of angles is an example of supplementary angles?

• ∠AFB and ∠EFC

• ∠AFC and ∠DFE

• ∠AFD and ∠DFC

• ∠AFD and ∠EFD