Question

Can someone help please

Answer 1

x+(6x+10)+(x+2)=180

8x=180-12

x=168÷8

x=21°

Hope i helped.

Answer 2

Answer:

a) x = 21

b) 136º

Step-by-step explanation:

The sum of all the angle measures within a triangle is equal to 180º. Therefore, we can use an equation to find x and find the measure of angle C.

x + 6x + 10 + x + 2 = 180

Let's add together all the x's.

8x + 10 + 2 = 180

Now let's add together 10 + 2.

8x + 12 = 180.

To solve for x, we must first isolate 8x. To do this, we subtract 12 from both sides.

8x + 12 - 12 = 180 - 12.

8x = 168

To solve for x, we must divide 8 from both sides.

8x / 8 = 168 / 8

x = 21

Now we have the answer to the first part.

We can use this answer to solve for the measure of angle C.

Angle C = 6x + 10.

We just have to plug in 21 for x and solve for angle C.

6(21) + 10 = 136.

Angle C has a measure of 136º.