Question

In the figure shown, what is the measure of angle x?

Answer 1

Angles in a triangle must add up to 180, so the missing angle inside the triangle is 180 - (70 + 40), which is 70.

Angles on a straight line (i.e. the line BD) must add up to 180, and because we know part of that angle is 70, x must be 180 - 70, which is 110.

Hence, x is 110 degrees.

Answer 2

an exterior angle of a triangle is equal to the sum of the opposite interior angles.

so x = 40 + 70 = 110

answer
x = 110