Angle Relationships and Measures

This video tutorial covers the angle addition postulate, explaining how to calculate the measure of angles by adding smaller angles together. It includes several examples, such as calculating the measure of angle ABC, using algebra to solve for unknown angles, and working with straight angles and bisected angles. The tutorial also emphasizes the importance of marking diagrams and provides guided practice problems.

What is the Angle Addition Postulate primarily used for?

• Subtracting angles to find a missing angle

• Dividing angles to find a smaller angle

• Multiplying angles to find a total angle

• Adding two angles to find a third angle

Tags

CCSS.4.MD.C.7

If angle ABD is 48° and angle DBC is 78°, what is the measure of angle ABC?

• 126°

• 130°

• 110°

• 120°

Tags

CCSS.7.G.B.5

Given angle DBC is 74° and angle ABC is 119°, what is the measure of angle ABD?

• 65°

• 75°

• 55°

• 45°

Tags

CCSS.7.G.B.5

In an algebraic problem, if angle PQR is 141° and the smaller angles are 13x + 4 and 10x - 1, what is the value of x?

• 8

• 5

• 6

• 7

Tags

CCSS.7.G.B.5

If angle PQR is 141° and angle PQS is 82°, what is the measure of angle SQR?

• 61°

• 60°

• 59°

• 62°

Tags

CCSS.7.G.B.5

For a straight angle DF, if angle DEG is 23x - 3 and angle GF is 12x + 8, what is the value of x?

• 7

• 6

• 5

• 8

Tags

CCSS.7.G.B.5

If angle DEG is 112° and angle GF is 68°, what is the total measure of angle DF?

• 160°

• 170°

• 190°

• 180°

Tags

CCSS.7.G.B.5

If angle ECD is 6 less than 5 times angle BCE, and angle BCD is 162°, what is the measure of angle BCE?

• 28°

• 30°

• 32°

• 34°

Tags

CCSS.HSG.CO.C.9

If angle CBE is bisected and CBD is 3x + 25 while DBE is 7x - 19, what is the value of x?

• 14

• 12

• 11

• 13

Tags

CCSS.7.G.B.5

If angle ABD is composed of a 90° angle and another angle measuring 58°, what is the total measure of angle ABD?

• 150°

• 152°

• 154°

• 148°

Tags

CCSS.7.G.B.5