# help me please 1 more math 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.

Relevance

A triangle's angles sum to 180 degrees.

7x + x + 6 + 2x + 4 = 180

10x + 10 = 180

10x = 170

x = 17

1st angle = 7(17) = 119

2nd angle = 17 + 6 = 23

3rd angle = 2(17) + 4 = 38

• Anonymous
9 years ago

Good question.

Anyway, you know that within any triangle, all of the interior angles equals 180 degrees.

The question gives you the three interior angles.

that means, 7x+(x+6)+(2x+4) = 180

simplifies to 10x+10 = 180

10x = 170

x = 17

Then we put this x value into the equations for each of the angles.

7(17) = 119

(17)+6 = 23

2(17)+4 = 38

Therefore, the three angles are 119, 23, 38.

• Anonymous
9 years ago

7x+x+6+2x+4= 180 degrees (triangle)

combind the like terms

7x+x+2x= 10x 6+4= 1=

10x+10=180

subtract 10 from both sides

10x=170

divide 170 by 10

x=17

now you plug in

side 1= 7 times 17= 119

side 2= 17+6= 23

side 3= 17 times 2 +4= 38

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