Finding Missing Angles in Isosceles and Equilateral Triangles

The video tutorial covers the properties and characteristics of isosceles and equilateral triangles. It explains how to identify these triangles and solve for missing angles using their unique properties. The tutorial includes examples of solving problems with isosceles triangles, including advanced problems that require understanding complementary angles and algebraic manipulation. The video aims to enhance understanding of triangle properties and improve problem-solving skills in geometry.

What is the defining property of an isosceles triangle?

• Two sides are equal

• All angles are equal

• No sides are equal

• All sides are equal

In an isosceles triangle, what can be said about the base angles?

• They are always different

• They are equal

• They are complementary

• They are supplementary

What is a key characteristic of an equilateral triangle?

• It has one right angle

• It has two equal sides

• All sides and angles are equal

• It has no equal sides

Which of the following is true about equilateral triangles?

• They are a type of isosceles triangle

• They have two equal angles

• They have one obtuse angle

• They have no equal sides

In an isosceles triangle with angles S, M, and R, which angles are equal?

• M and R

• None of the angles are equal

• S and M

• S and R

If one of the base angles in an isosceles triangle is 54 degrees, what is the measure of the other base angle?

• 54 degrees

• 72 degrees

• 90 degrees

• 36 degrees

In an isosceles triangle with base angles of 49 degrees, what is the measure of the third angle?

• 180 degrees

• 49 degrees

• 82 degrees

• 98 degrees

If an isosceles triangle has a vertex angle of 38 degrees, what is the measure of each base angle?

• 71 degrees

• 38 degrees

• 52 degrees

• 90 degrees

How can you find a missing angle in an isosceles triangle if you know one exterior angle?

• By multiplying the exterior angle by 2

• By subtracting the exterior angle from 180 degrees

• By adding the exterior angle to 180 degrees

• By dividing the exterior angle by 2

In an isosceles triangle with an exterior angle of 112 degrees, what is the measure of the adjacent interior angle?

• 180 degrees

• 44 degrees

• 112 degrees

• 68 degrees