Triangle Angle Measures and Properties

The video tutorial explains how to find the measures of angles x, y, and w using the properties of triangles. It demonstrates that the sum of the interior angles of a triangle is 180 degrees. The tutorial walks through the process of calculating each angle by subtracting the known angles from 180 degrees. Angle Y is calculated as 48 degrees, angle W as 38 degrees, and angle X as 105 degrees. The video concludes with a summary of these calculations.

What is the sum of the interior angles of any triangle?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

Which property of triangles is used to find the unknown angle when two angles are known?

• The sum of adjacent angles is 90 degrees

• The sum of opposite angles is equal

• The sum of interior angles is 180 degrees

• The sum of exterior angles is 360 degrees

If two angles of a triangle are 82 degrees and 50 degrees, what is the measure of the third angle?

• 60 degrees

• 52 degrees

• 48 degrees

• 58 degrees

In the right triangle, if two angles are 115 degrees and 27 degrees, what is the measure of the third angle?

• 48 degrees

• 38 degrees

• 58 degrees

• 28 degrees

What is the measure of angle w in the right triangle?

• 48 degrees

• 58 degrees

• 28 degrees

• 38 degrees

In the small triangle formed by overlapping triangles, if two angles are 48 degrees and 27 degrees, what is the measure of the third angle?

• 95 degrees

• 100 degrees

• 105 degrees

• 110 degrees

What is the measure of angle x in the small triangle?

• 95 degrees

• 100 degrees

• 105 degrees

• 110 degrees

How do you calculate the measure of an unknown angle in a triangle?

• Multiply the known angles and subtract from 180

• Add the known angles and subtract from 360

• Add the known angles and subtract from 180

• Divide the known angles by 2