Question

Find the value of a answers: a:15 b:14 c:19 d:16

Answer 1

A. 15

Explanation:

The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.

`6a+10=3a+55`

Now, solve for a. We must get a by itself on one side of the equation.

First, subtract 3a from both sides of the equation.

`6a-3a+10=3a-3a+55`

`(6a-3a)+10=55`

`3a+10=55`

Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.

`3a+10-10=55-10`

`3a=55-10`

`3a=45`

3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3

`3a/3=45/3`

`a=45/3`

`a=15`

The value of a is 15 and choice A is correct.

Answer 2

6a+10= 3a+55

6a-3a= 55-10

3a= 45

a= 45/3

a= 15

The answer is (A) 15

Hope this helps^°^