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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

Please hurry this is the last question and Im off for the dayTriangle ABC has angle measures as shown a what is the value of x b what is the measure of angle CC class=

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Answer:

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

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