Exploring Interior and Exterior Angles of Triangles

The video tutorial covers the basics of triangles, including sides, vertices, and angles. It explains the triangle sum theorem, demonstrating that the sum of a triangle's interior angles is 180 degrees. The lesson also explores the exterior angle theorem, showing how an exterior angle equals the sum of the two remote interior angles. Practical applications of these theorems are provided, including finding missing angles and using ratios to determine angle measures.

What defines a triangle?

• A figure with two equal sides

• A shape with four sides

• A polygon with at least one obtuse angle

• A closed polygon with three sides

How many sides does a triangle have?

• Two

• Three

• Five

• Four

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

• 360 degrees

• 90 degrees

• 180 degrees

• 270 degrees

How can you find a missing angle in a triangle if you know the other two angles?

• Subtract the sum of the two known angles from 360 degrees

• Add the two known angles and divide by 2

• Subtract the sum of the two known angles from 180 degrees

• Multiply the two known angles

Can angles measuring 33 degrees, 44 degrees, and 93 degrees form a triangle?

• No, because they sum up to less than 180 degrees

• Yes, because they are all acute angles

• No, because they sum up to more than 180 degrees

• Yes, because they sum up to 180 degrees

In a triangle with angles in the ratio 1:2:6, what is the measure of the smallest angle?

• 30 degrees

• 10 degrees

• 40 degrees

• 20 degrees

What is the measure of the largest angle in a triangle with angles in the ratio 1:2:6?

• 180 degrees

• 120 degrees

• 40 degrees

• 20 degrees

What does the Exterior Angle Theorem state?

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

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

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

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

If one of the remote interior angles of a triangle is 63 degrees, what could be the measure of the exterior angle?

• 180 degrees

• 147 degrees

• 117 degrees

• 63 degrees

What is the sum of the measures of the remote interior angles if the exterior angle measures 147 degrees?

• 294 degrees

• 73.5 degrees

• 234 degrees

• 147 degrees