Triangle abc has angles measures as shown.

a.) what is the value of x? show work

b.) what is the measure of angle?

Part A

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

Part B

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

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.