Angle Relationships and Measurements

The video tutorial covers solving geometry problems involving angles. It begins with a homework assignment and a review of basic angle properties, such as angles on a straight line, right angles, and vertical angles. The teacher then guides students through solving various problems to find unknown angles, using algebraic equations and geometric principles. Each problem is broken down step-by-step, demonstrating how to set up and solve equations to find the values of angles C, W, R, and X. The lesson concludes with a final problem and a recap of the key concepts.

What is the sum of angles on a straight line?

• 270°

• 360°

• 180°

• 90°

Vertical angles are always:

• Different

• Complementary

• Supplementary

• Equal

What is the measure of a right angle?

• 45°

• 60°

• 120°

• 90°

If two angles on a straight line are 90° and 17°, what is the third angle?

• 63°

• 93°

• 73°

• 83°

In a problem where two lines meet at a vertex, if one angle is 125° and the other is a right angle plus W, what is W?

• 55°

• 35°

• 25°

• 45°

If two vertical angles are 34° each, and they form a straight line with another angle R, what is R?

• 24°

• 34°

• 54°

• 44°

What is the value of X if the angles on a straight line are labeled 2x - 15 and 11x?

• 15

• 18

• 10

• 12

If angle AOB is 2x - 15 and x = 15, what is the measure of angle AOB?

• 45°

• 15°

• 60°

• 30°

If angle BOC is 11x and x = 15, what is the measure of angle BOC?

• 150°

• 165°

• 180°

• 195°

If two angles on a straight line are labeled 4x + 5 and 5x + 22, what is the value of x?

• 17

• 16

• 15

• 18