Understanding Angles in Triangles

Understanding Angles in Triangles

Assessment

Interactive Video

Created by

Mia Campbell

Mathematics

7th - 10th Grade

7 plays

Medium

The video tutorial focuses on solving problems involving parallel lines and triangles. It begins with a classic problem setup, where the goal is to find the measure of a specific angle. The instructor guides through solving the first triangle by using the sum of angles property. Then, the concept of supplementary angles is explained, followed by the exterior angle theorem. Finally, the solution to the second triangle is demonstrated, reinforcing the understanding of angle calculations in geometric figures.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a problem involving angles in triangles?

Determine the sum of all angles

Calculate the area of the triangle

Identify the parallel lines

Find the given angles

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If two angles in a triangle are 50 and 64 degrees, what is the measure of the third angle?

66 degrees

70 degrees

76 degrees

80 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between supplementary angles?

They are complementary

They add up to 90 degrees

They are equal

They add up to 180 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an angle is supplementary to a 66-degree angle, what is its measure?

124 degrees

120 degrees

130 degrees

114 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an exterior angle in a triangle?

An angle that is equal to the interior angles

An angle formed by extending a side of the triangle

An angle that is less than 90 degrees

An angle inside the triangle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is an exterior angle related to the remote interior angles?

It is equal to the sum of the remote interior angles

It is half of the remote interior angles

It is double the remote interior angles

It is unrelated to the remote interior angles

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the exterior angle is 114 degrees, what is the sum of the remote interior angles?

130 degrees

120 degrees

114 degrees

100 degrees

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of the third angle if the other two angles in a triangle are 114 and 31 degrees?

45 degrees

35 degrees

65 degrees

55 degrees

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is used to find the third angle in a triangle?

Sum of angles in a triangle

Law of sines

Law of cosines

Pythagorean theorem

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in solving for an unknown angle in a triangle?

Multiply the known angles

Add the known angles

Divide the known angles

Subtract the known angles from 180 degrees

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