Understanding Pairs of Angles

This video tutorial covers pairs of angles, including adjacent, complementary, supplementary, and vertical angles. It explains their properties and how to identify them in diagrams. The tutorial also includes problem-solving examples to reinforce understanding of these angle types, focusing on their relationships and congruence.

What is a characteristic of adjacent angles?

• They are always equal in measure.

• They add up to 90 degrees.

• They share a common vertex and side.

• They form a straight line.

What is the sum of complementary angles?

• 180 degrees

• 45 degrees

• 90 degrees

• 360 degrees

Which of the following is true about supplementary angles?

• They form a straight line when adjacent.

• They add up to 90 degrees.

• They are equal in measure.

• They are always adjacent.

What defines vertical angles?

• They are formed by two intersecting lines.

• They add up to 180 degrees.

• They are adjacent angles.

• They are always complementary.

How can you show that two angles are congruent using arcs?

• Use different colors for each angle.

• Use arcs and hash marks together.

• Use the same number of arcs for both angles.

• Use different numbers of arcs for each angle.

If two angles are vertical, what can be said about their measures?

• They are adjacent.

• They are equal.

• They are supplementary.

• They are complementary.

In a problem involving vertical angles, if one angle is 23 degrees, what is the measure of the opposite angle?

• 46 degrees

• 90 degrees

• 23 degrees

• 157 degrees

Which pair of angles forms a linear pair?

• Two angles that are adjacent.

• Two angles that form a straight line.

• Two angles that add up to 90 degrees.

• Two angles that are equal.

If angle INJ is 61 degrees, what is the measure of angle JNL?

• 61 degrees

• 180 degrees

• 119 degrees

• 90 degrees

Which angles are complementary if angle INJ is 61 degrees?

• Angle JNL and angle KNL

• Angle INJ and angle MNL

• Angle INK and angle KNL

• Angle INJ and angle JNK