Triangle Angle Relationships and Theorems

In this video, Smita Chargon explains how to find missing angles in triangles using various concepts. The video covers solving for angles in four different triangles, applying the sum of angles in a triangle, properties of isosceles triangles, the exterior angle theorem, and linear pair concepts. Each triangle is solved step-by-step, demonstrating the application of these mathematical principles. The video concludes with a call to action for viewers to like and subscribe for more educational content.

What is the main goal of the video tutorial?

• To understand the history of triangles

• To solve for the missing angles in given triangles

• To learn about different types of triangles

• To calculate the perimeter of triangles

What is the sum of the angles in any triangle?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

If two angles in a triangle are 70 degrees and 35 degrees, what is the third angle?

• 75 degrees

• 95 degrees

• 85 degrees

• 105 degrees

What type of triangle has two sides of equal length?

• Right triangle

• Isosceles triangle

• Equilateral triangle

• Scalene triangle

In an isosceles triangle, if one angle is 68 degrees, what is the measure of the other angle opposite the equal side?

• 72 degrees

• 68 degrees

• 80 degrees

• 90 degrees

How do you find the missing angle in an isosceles triangle if two angles are known?

• Add the two angles and subtract from 360

• Divide the two angles

• Add the two angles and subtract from 180

• Multiply the two angles

What does the exterior angle theorem state?

• The exterior angle is equal to the sum of the adjacent interior angles

• The exterior angle is equal to the sum of the two opposite interior angles

• The exterior angle is equal to the sum of all interior angles

• The exterior angle is equal to the difference of the two opposite interior angles

If an exterior angle of a triangle is 127 degrees, what is the sum of the two opposite interior angles?

• 360 degrees

• 127 degrees

• 180 degrees

• 90 degrees

How do you calculate an exterior angle if two interior angles are 80 degrees and 39 degrees?

• Divide the two angles

• Multiply the two angles

• Add the two angles

• Subtract the two angles

What is a linear pair of angles?

• Two angles that add up to 90 degrees

• Two angles that are equal

• Two angles that are complementary

• Two angles that add up to 180 degrees