Angles

Aiden is studying triangles in his geometry class. He encounters a triangle where one angle measures 40°, another measures 65°, and the third angle is represented as x + 83°. Find the value of x.

• -8

• -3

• 2

• 180

Abigail is studying angles in her geometry class. She finds a diagram where line segment QR is intersected by line segment RT, creating angles of (3x)° and (8x + 70)°. What is the value of x?

• x = 180

• x = 90

• x = 11

• x = 10

Olivia is studying the angles of a pentagon in her geometry class. One of the angles is expressed as (9x - 18)°. What is the value of x?

During a math class, Jackson and Lily are discussing angles. Jackson points out that one angle measures 123° and the other angle measures 3x°. They want to determine whether these angles are complementary or supplementary. Then, they need to find the value of x.

• Complementary, 15

• Supplementary, 16

• Complementary, 18

• Supplementary, 19

Charlotte is studying angles in her geometry class. She comes across a diagram with two parallel lines cut by a transversal. One of the angles, labeled 6, measures 119°. What is the measure of angle 1?

• m∠1 = 119°

• m∠1 = 71°

• m∠1 = 61°

• m∠1 = 51°

Emma is learning about the properties of angles. She sees a diagram with two intersecting lines creating angles of (2x + 30)° and (5x - 10)°. What is the value of x?

• x = 12

• x = 10

• x = 14

• x = 8

Oliver is working on a problem involving complementary angles. If one angle measures 45° and the other angle is represented as (y + 15)°, what is the value of y?

• y = 45

• y = 0

• y = 15

• y = 30

Sophia is studying the angles in a quadrilateral. She knows that three angles measure 70°, 85°, and 95°. What is the measure of the fourth angle?

• m∠4 = 40°

• m∠4 = 30°

• m∠4 = 20°

• m∠4 = 10°