Part A
Answer: x = 21
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Work Shown:
The three angles of a triangle add to 180, so,
A+B+C = 180
x+6x+10+x+2 = 180
8x+12 = 180
8x+12-12 = 180-12 ... subtract 12 from both sides
8x = 168
8x/8 = 168/8 ... divide both sides by 8
x = 21
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Part B
Answer: Angle C = 136 degrees
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Work Shown:
Use the value of x found back in part A
Replace every x with 21, then use PEMDAS to simplify
angle C = (6x+10) degrees
angle C = (6*21+10) degrees
angle C = (126+10) degrees
angle C = 136 degrees