Question

URGENT!!! PLEASE HELP

Answer 1

Answer:

c is 30.

The angles, from left to right, are:

66, 94, and 20.

Step-by-step explanation:

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

$(2c+6)+(3c+4)+(\frac{1}{2}c+5)=180$

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:

$\frac{1}{2}c+5$

Substitute 30 for c:

$=\frac{1}{2}(30)+5$

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!