What is the value of x and what is the measure of each angle?

m<A= 21°, m<B=80°, m<C=79°

Step-by-step explanation:

,

angle A = 21 degrees

Angle B = 80 degrees

Angle C = 79 degrees

Step-by-step explanation:

The sum of the angle in a triangle is 180 degrees. This means that in triangle ABC,

Angle A + angle B + angle C = 180 degrees. Therefore,

2x + 7 + 10x + 10 + 8x + 23 = 180

2x + 10x + 8x + 7 + 10 + 23 = 180

20x + 40 = 180

20x = 180 - 40 = 140

x = 140/20 = 7

Therefore,

Angle A = 2x + 7 = 2 × 7 + 7 = 14 + 7 = 21 degrees

Angle B = 10x + 10 = 10 × 7 + 10 = 70 + 10 = 80 degrees

Angle C = 8x + 23 = 8 × 7 + 23 = 56 + 23 = 79 degrees