Question

URGENT!!! PLEASE HELP

12. Find the value of C and the measure of each angle

2c+6
3c+4
1/2c+5

Answer 1

c is 30.

The angles, from left to right, are:

66, 94, and 20.

Explanation:

The three angles form a straight angle. In other words, they sum to 180. So, we can write the following equation:

`(2c+6)+(3c+4)+((1)/(2)c+5)=180`

Let's solve for c. Combine like terms:

`(2c+3c+0.5c)+(6+4+5)=180`

Add:

`5.5c+15=180`

Subtract 15 from both sides:

`5.5c=165`

Divide both sides by 5.5:

`c=30`

So, the value of c is 30.

Now, substitute it into each of the angles to find their respective measures.

Left-Most Angle:

We have:

`2c+6`

Substitute 30 for c. This yields:

`=2(30)+6`

Multiply and add:

`=60+6=66`

Middle Angle:

We have:

`3c+4`

Substitute 30 for c:

`=3(30)+4`

Multiply and add:

`=90+4=94`

Right-Most Angle:

We have:

`(1)/(2)c+5`

Substitute 30 for c:

`=(1)/(2)(30)+5`

Multiply and add:

`=15+5=20`

So, our angles, from left to right, are: 66, 94, and 20.

And the value of c is 30.

And we're done!