Solving for Unknown Angles

Solving for Unknown Angles

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve an angle problem using the angle sum theorem. It starts by introducing the problem, which involves finding the measures of angles ABC and DBC given the measure of angle ABD. The tutorial explains how to use expressions with a variable x to represent the angles and solve for x using the angle sum theorem. Once x is determined, the values are plugged back into the expressions to find the measures of the angles. The tutorial concludes with a summary of the problem-solving process.

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23 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of angle ABD given in the problem?

45 degrees

79 degrees

34 degrees

90 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two angles we need to find the measures of?

ABD and ABC

ABC and ACD

ABC and DBC

ABD and DBC

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the unknown variable used in the expressions for the angles?

w

x

z

y

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to solve the problem of finding the angle measures?

Cosine Rule

Sine Rule

Angle Sum Theorem

Pythagorean Theorem

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation set up to find the value of x?

5x + 4 + 8x - 3 = 79

8x - 3 = 79

5x - 4 + 8x + 3 = 79

5x + 4 = 79

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x after solving the equation?

6

5

7

8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for the unknown variable x?

Divide by 13

Add the expressions for the angles

Subtract 1 from both sides

Multiply by 13

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