Question

Remote Interior and Exterior Angles in Triangles

Answer 1

∠ 2 = 60°

Explanation:

the exterior angle of a triangle is equal to the sum of the 2 remote interior angles.

123° is an exterior angle of the triangle , then

∠ 2 + 63° = 123° ( subtract 63° from both sides )

∠ 2 = 60°

Answer 2

60

Explanation:

The sum of interior angles in a triangle is equal to 180° so we can write the following equation to find the value of missing angle:

∠2 + 63 + 57 = 180 add like terms

∠2 + 120 = 180 subtract 120 from both sides

∠2 = 60