Geometry: Angles

What is the value of angle P in the diagram?

• 54°

• 63°

• 117°

• 170°

Tags

CCSS.8.G.A.5

Consider the figure shown.

• 5x

• 6x

• 90 - 5x

• 180 - 5x

Tags

CCSS.8.G.A.5

Which statement would prove that m∠8 = m∠13?

• ∠8 and ∠10 are alternate exterior angles, so m∠8 = m∠10, and ∠10 and ∠13 are corresponding angles, so m∠10 = m∠13; therefore, m∠8 = m∠13.

• ∠8 and ∠10 are corresponding angles, so m∠8 = m∠10, and ∠10 and ∠13 are alternate interior angles, so m∠10 = m∠13; therefore, m∠8 = m∠13.

• ∠8 and ∠12 are alternate interior angles, so m∠8 = m∠12, and ∠12 and ∠13 are alternate exterior angles, so m∠12 = m∠13; therefore, m∠8 = m∠13.

• ∠8 and ∠12 are corresponding angles, so m∠8 = m∠12, and ∠12 and ∠13 are corresponding angles, so m∠12 = m∠13; therefore, m∠8 = m∠13.

Tags

CCSS.8.G.A.5

Consider the figure. Which statement must be true?

• m∠x + m∠y + m∠z = 180°

• m∠x - m∠y + m∠z = 180°

• m∠x + m∠z = 180°

• m∠y + m∠z = 180°

Tags

CCSS.4.MD.C.7

Triangle ABC is rotated 180° about the origin to form triangle A'B'C'. If the vertex at A forms an angle with measure of 48°, and the vertex at C' forms an angle with measure of 80°, what is the measure of the vertex at B?

• 48°

• 52°

• 80°

• 128°

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the result of 2 + 2?

• 3

• 4

• 5

• 6

Tags

CCSS.1.OA.C.6

CCSS.2.OA.B.2

Solve for x: 2x + 5 = 15

• 5

• 7

• 8

• 10

Tags

CCSS.7.EE.B.4A

A right triangle is shown in the diagram.

• 3

• 5

• 6

• 9

Tags

CCSS.8.G.B.8

Point O is the point of intersection of the bisectors of angles ∠ABC, ∠BAC, and ∠ACB. The measure of ∠ABC is 70°, and the measure of ∠ACB is 64°. What is the measure of ∠BOC?

• 32°

• 35°

• 56.5°

• 113°

Tags

CCSS.HSG.C.A.3

Five planks are joined together as shown. What is the angle, in degrees, between Plank Q and Plank R?

• 40°

• 70°

• 110°

• 125°