Exploring Special Angle Pairs

This video tutorial covers different types of angle pairs, including vertical, linear, supplementary, complementary, and adjacent angles. It explains their properties and provides examples for each type. The video also includes problem-solving exercises to apply these properties, helping students understand how to identify and use angle pairs in various scenarios.

What is the key property of vertical angles?

• They always add up to 90 degrees.

• They always form a straight line.

• They are always congruent.

• They are always supplementary.

Which of the following is true about a linear pair?

• They form a straight line and are supplementary.

• They are always adjacent but not supplementary.

• They are always congruent.

• They always add up to 90 degrees.

What is the sum of supplementary angles?

• 90 degrees

• 180 degrees

• 360 degrees

• 45 degrees

Complementary angles add up to:

• 360 degrees

• 180 degrees

• 45 degrees

• 90 degrees

Which of the following is true about adjacent angles?

• They always add up to 90 degrees.

• They are always congruent.

• They always form a straight line.

• They share a common side.

If two angles are vertical and one is 112 degrees, what is the measure of the other angle?

• 68 degrees

• 112 degrees

• 90 degrees

• 180 degrees

If two angles form a right angle and one is 68 degrees, what is the measure of the other angle?

• 112 degrees

• 68 degrees

• 22 degrees

• 90 degrees

What is the measure of angle y if it is vertical to a 43-degree angle?

• 90 degrees

• 43 degrees

• 180 degrees

• 137 degrees

If angle p and angle q are supplementary and angle q is 64 degrees, what is the measure of angle p?

• 90 degrees

• 116 degrees

• 64 degrees

• 180 degrees

If angle pqt is 3x + 47 and angle sqr is 6x - 25, and they are vertical angles, what is the value of x?

• 48

• 24

• 36

• 12