Please hurry, this is the last question and I'm off for the day.
Triangle ABC has angle measures as shown.

(a.) what is the value of x?

(b.) what is the measure of angle C?

Could you show your work

Step-by-step explanation:

a) The sum of the angles in a triangle is 180 degrees. This means that

Angle A + angle B + angle C = 180

Therefore,

3x + 28 + 5x + 52 + 2x - 10 = 180

Collecting like terms, it becomes

3x + 2x + 5x + 28 + 52 - 10 = 180

10x + 70 = 180

Subtracting 70 from both sides of the equation, It becomes

10x + 70 - 70 = 180 - 70

10x = 110

Dividing both sides of the equation by 10, It becomes

10x/10 = 110/10

x = 11

b) angle C = 2x - 10 = 2 × 11 - 10

Angle C = 22 - 10 = 12 degrees

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.