Triangle Sum, Exterior Angle and Isosceles Triangle Theorem

If an exterior angle measures 110 degrees, what is the sum of the two opposite interior angles?

• 70 degrees

• 80 degrees

• 90 degrees

• 60 degrees

What is the Isosceles Triangle Theorem?

• In an isosceles triangle, the angles opposite the equal sides are also equal.

• The sum of the angles in an isosceles triangle is always 180 degrees.

• An isosceles triangle has three equal sides.

• The base angles of an isosceles triangle are always 90 degrees.

If one angle of a triangle is 60 degrees, what is the maximum possible measure of the other two angles?

• 90 degrees

• 120 degrees

• 150 degrees

• 180 degrees

What is an Exterior Angle of a triangle?

• An angle formed by one side of the triangle and the extension of an adjacent side, equal to the sum of the two opposite interior angles.

• An angle formed by two sides of the triangle meeting at a vertex.

• An angle that is always greater than 90 degrees in a triangle.

• An angle that is formed by the intersection of two lines outside the triangle.

If one angle of a triangle is 120 degrees, can the triangle exist?

• Yes, a triangle can exist with an angle measuring 120 degrees.

• No, a triangle cannot exist with an angle measuring 120 degrees, as the sum of the other two angles would need to be 60 degrees, which is not possible.

• Yes, but it would be an obtuse triangle.

• No, the triangle would be invalid because all angles must be less than 90 degrees.

How do you determine if a triangle is isosceles?

• A triangle is isosceles if at least two of its sides are equal in length.

• A triangle is isosceles if all three sides are equal in length.

• A triangle is isosceles if it has one right angle.

• A triangle is isosceles if it has no equal sides.

If a triangle has angles measuring 30 degrees and 60 degrees, what is the measure of the third angle?

• 60 degrees

• 90 degrees

• 120 degrees

• 150 degrees

In an isosceles triangle, if one angle is 40 degrees, what are the measures of the other two angles?

• 60 degrees each

• 70 degrees each

• 80 degrees each

• 90 degrees each

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

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

• Add the known angles together and divide by 2.

• Multiply the known angles by 3.

• Use the Pythagorean theorem to find the unknown angle.

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

• 65 degrees

• 70 degrees

• 75 degrees

• 80 degrees