Question

Find measurement of x

Answer 1

x = 44°

Explanation:

Given: Angle A, Angle C

Angle A + Angle C + Angle B = 180

14° + 30° + Angle B = 180°

44° + Angle B = 180°

Angle B = 180° - 44°

Angle B = 136°

Now,

Angle B + Angle x = 180°

136° + Angle x = 180°

Angle x = 180° - 136°

Angle x = 44°

Hope it helps!

Answer 2

44

Explanation:

The angle measuring x is an exterior angle of the triangle. Its remote interior angles are the angles measuring 14 deg and 30 deg.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

x = 14 + 30

x = 44