Angles Quiz

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| By Brad75

Brad75

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Quizzes Created: 7 | Total Attempts: 17,277

| Attempts: 9,114 | Questions: 9

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About This Quiz

This 'Angles Quiz' assesses understanding of basic angle concepts, including identifying degrees in turns, matching angle names, and calculating specific angles. It is designed to enhance learners' geometric... see moreskills, focusing on practical applications and theoretical knowledge. see less

2. Match the following angles (in degrees) with the correct names.

220

140

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8. Which letter is the alternate angle?

The alternate angle to a given angle is the angle that is on the opposite side of the transversal line, but on the same side of the other line. In this case, the letter "C" and "c" are on opposite sides of the transversal line and on the same side of the other line. Therefore, both "C" and "c" can be considered as the alternate angle.

Explanation

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9. What is the value (in degrees) for angles b and c?

This image features a circle and several angles created by intersecting lines. Given that the 30° angle is adjacent to angle a, and that lines are parallel, we can apply angle relationships such as the Alternate Interior Angle Theorem and the fact that the angles around a point sum up to 360°.

Here's a step-by-step breakdown to find angles b and c:

Angle a: Since it's adjacent to the given 30° angle and the lines are parallel, angle a must also be 30° (alternate interior angles).

Angle b: Since a and b form a linear pair, they must sum to 180° (angles on a straight line). Thus, angle b = 180° - 30° = 150°.

Angle c: Since b and c are vertically opposite angles, angle c = angle b = 150°.

Therefore, both b and c are 150°.

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