115k views
1 vote
Can anybody please help me out with this problem I would really appreciate it so much . Please and thank you

Can anybody please help me out with this problem I would really appreciate it so much-example-1
User Frunsi
by
3.9k points

1 Answer

4 votes

"Supplementary" angles add up to 180°.

Opposite angles are supplementary, so . . .

(12x - 4) + (19x - 2) = 180°

Clear the parentheses: 12x - 4 + 19x - 2 = 180°

Add up all the x's on the left side: 31x - 4 - 2 = 180°

Add up the plain old numbers on the left side: 31x - 6 = 180°

Add 6 to each side: 31x = 186°

Divide each side by 31 : x = 6°

Well ! Now that you know that x = 6° . . .

Angle EPC is (12x - 4)°

That's (12·6 - 4)°

Which is (72 - 4)°

Which is 68°

User Monical
by
3.9k points