Question

Given a triangle with the measure of the first angle is 7x, the measure of the second angle is
(x + 6) and the measure of the third angle is (2x + 4), find the measures in degrees of all three angles.

Answer 1

because the interior degrees of a triangle add up to 180 degrees, you can say
7x+(x+6)+(2x+4)=180

because addition is commutative, meaning you can add in any order, you can rewrite it combining like terms

10x+10=180

simplify.

10x=170
x=17

Now, you can plug x into the expression for each angle and find the value of the angle.

Answer 2

7(17)=119
(17)+6=23
2(17)+4=38

119+23+38=180