Question

The Triangle Angle Sum Theorem states that the sum of the angles inside a triangle must equal 180°. Using this theorem, find the measure of angle B.

An image of a triangle is shown. The triangle has A, B, and C marked on the corners. A is 100°, and C is 55°.

Answer 1

The Triangle Angle Sum Theorem states that the sum of the angles inside a triangle must equal 180°. Using this theorem, find the measure of angle C.

Answer 2

Based on Triangle Angle Sum Theorem, the sum of the angles inside a triangle must equal 180°. Use the equation 2x + 4x + 6x = 180° to solve the measures of the angles in this triangle.

30° 30° and 120°
15° 60° and 105°
30° 60° and 90°
15° 75° and 90°

Answer 3

Two sides of a triangle are 10 mm and 7 mm. Using the Triangle Inequality Theorem (see picture above), determine the length of the third side from the choices given.

3 mm
5 mm
1 mm
2 mm

Answer 4

Two sides of a triangle are 6 in. and 8 in. Using the Triangle Inequality Theorem (see picture above), which amount could be the length of the third side from the choices given?

10 in.
2 in.
1 in.

Answer 5

Using the Triangle Inequality Theorem (see picture above), determine which three sides form a triangle.

8, 8. 20
10, 20, 30
10, 15, 20
4, 8, 12