Understanding Angles: Vertical, Adjacent, and Complementary

This video tutorial covers the measurement of angles using diagrams. It explains vertical and adjacent angles, highlighting that vertical angles are equal and adjacent angles formed by intersecting lines are supplementary. The tutorial provides examples to calculate unknown angles using these properties. It also includes a second example involving right angles and complementary angles, demonstrating how to find unknown angle measures by applying these concepts.

What are vertical angles?

• Angles that are formed by parallel lines

• Angles that add up to 90 degrees

• Angles that are opposite each other when two lines intersect

• Angles that share a common side

Tags

CCSS.7.G.B.5

Which of the following pairs of angles are vertical angles?

• Angle C and Angle D

• Angle A and Angle B

• Angle B and Angle C

• Angle A and Angle C

Tags

CCSS.7.G.B.5

If angle Y is a vertical angle to a given angle measuring 76 degrees, what is the measure of angle Y?

• 180 degrees

• 90 degrees

• 104 degrees

• 76 degrees

Tags

CCSS.7.G.B.5

What is the sum of the measures of adjacent angles formed by two intersecting lines?

• 360 degrees

• 180 degrees

• 45 degrees

• 90 degrees

Tags

CCSS.7.G.B.5

If angle X and a given angle measuring 76 degrees are adjacent and supplementary, what is the measure of angle X?

• 180 degrees

• 90 degrees

• 104 degrees

• 76 degrees

Tags

CCSS.7.G.B.5

In the second example, what is the measure of angle KVM?

• 113 degrees

• 39 degrees

• 74 degrees

• 90 degrees

Tags

CCSS.4.MD.C.7

How do you calculate the measure of angle KVN in the second example?

• By subtracting the measure of angle LVN from 180 degrees

• By adding the measures of angles KVM and MVL

• By adding the measures of angles KVL and LVN

• By subtracting the measure of angle KVL from 90 degrees

Tags

CCSS.7.G.B.5

What is the measure of angle MVL if it is complementary to angle LVK, which measures 39 degrees?

• 74 degrees

• 51 degrees

• 39 degrees

• 90 degrees

Tags

CCSS.7.G.B.5

If angle MVN is part of angle LVN, which measures 74 degrees, and angle MVL measures 51 degrees, what is the measure of angle MVN?

• 51 degrees

• 39 degrees

• 23 degrees

• 74 degrees

Tags

CCSS.7.G.B.5

What is the relationship between angles MVL and LVK in the second example?

• They are adjacent angles

• They are complementary angles

• They are supplementary angles

• They are vertical angles

Tags

CCSS.7.G.B.5