8.MG.1 DECATHLON (2023 Standards)

Which statement is true regarding vertical angles?

• If two angles are vertical angles, the sum of their measures is 90°.

• If two angles are vertical angles, the measures are the same.

• If two angles are vertical angles, the sum of their measures is 180°.

• If two angles are vertical angles, one measures more than 90° and one measures less than 90°.

Tags

CCSS.7.G.B.5

If ∠QRS and ∠XYZ are supplementary, which must be true?

• Both angles measure less than 90°.

• The sum of the measures of the angles is 90°.

• The sum of the measures of the angles is 180°.

• Both angles can measure between 90° and 180°.

Tags

CCSS.7.G.B.5

Which three statements are NOT true about the diagram?

• ∠Z and ∠X are complementary.

• ∠G and ∠E are complementary.

• ∠X and ∠W are supplementary.

• ∠E and ∠H are vertical.

• ∠F and ∠Y are vertical.

Tags

CCSS.7.G.B.5

Two adjacent angles are shown. Angle E is three times as large as Angle F. What is the measure of ∠E?

• 22.5°

• 30°

• 60°

• 67.5°

Tags

CCSS.7.G.B.5

What is the measure of ∠S? (Refer to the diagram where one angle is 77°)

• 177°

• 103°

• 90°

• 13°

Tags

CCSS.7.G.B.5

Directions: Drag the correct answer(s) to the appropriate boxes. Given the relationships shown, place the correct angle measures in each box to complete the diagram. Use the table of values provided.

• 55°

• 90°

• 115°

• 125°

Tags

CCSS.7.G.B.5

Lines x and y intersect as shown – (6x + 38)° and (7x + 26)° are vertical angles. What is the value of x?

• x = 12

• x = 10

• x = 15

• x = 8

Tags

CCSS.7.G.B.5

The figure below shows Angles M, N, and P. Angles N and P are complementary. If ∠M equals 125°, then what is the measure of ∠P?

• 65°

• 55°

• 45°

• 35°

Tags

CCSS.7.G.B.5

What is the measure of ∠c?

• 20°

• 30°

• 70°

• 110°

Tags

CCSS.7.G.B.5

Which pairs of angles are complementary given the diagram shown?

• ∠2 and ∠1

• ∠1 and ∠3

• ∠2 and ∠5

• 4 and ∠5

• ∠3 and ∠4

Tags

CCSS.7.G.B.5