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Angle Relationships Quiz

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Questions and Answers

What relationship exists between two angles if they are complementary?

They are adjacent.

Their measures add up to 180 degrees.

They are equal in measure.

Their measures add up to 90 degrees. (correct)

Which angle pair relationship is indicated if two angles sum to 180 degrees?

Complementary

Adjacent

Supplementary (correct)

Vertical

Which of the following angle pairs are congruent?

Two angles that are complementary.

Two angles that are supplementary but not adjacent.

Two angles that each measure 45 degrees. (correct)

Two adjacent angles formed by two intersecting lines.

What can be inferred about two angles if they are classified as vertical angles?

<p>They share a common vertex and are congruent.</p> Signup and view all the answers

If two angles are supplementary, which of the following statements is true?

<p>They can either be acute, right, or obtuse.</p> Signup and view all the answers

Study Notes

Complementary Angles

Two angles are complementary if the sum of their measures equals 90 degrees.
Example: If one angle measures 30 degrees, the other must measure 60 degrees to be complementary.

Supplementary Angles

Angles that sum to 180 degrees are classified as supplementary.
Example: If one angle measures 110 degrees, the other must measure 70 degrees to be supplementary.

Congruent Angles

Congruent angles have equal measures.
If angle A measures 45 degrees, any angle that also measures 45 degrees is congruent to angle A.

Vertical Angles

Vertical angles are formed when two lines intersect.
They are always equal in measure.
If angle A and angle B are vertical angles, then angle A = angle B.

Properties of Supplementary Angles

If two angles are supplementary, at least one of the following is true:
- Their sum is 180 degrees.
- If one angle measures 90 degrees, the other measures 90 degrees (making them complementary as well).

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Description

Test your understanding of angle pairs and their relationships. Explore concepts like complementary and supplementary angles, vertical angles, and congruency through a series of questions. Gauge your grasp on these fundamental geometric principles.