Question

Determine the measure of angle a. PLEASE HELP ASAP!

Answer 1

Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

$(9x+6)+(74)+(16x)=180$

Let’s solve for x:

Combine LIke Terms:

$(9x+16x)+(74+6)=180$

Add:

$25x+80=180$

Subtract 80 from both sides:

$25x=100$

Divide both sides by 25:

$x=4$

Therefore, the value of x is 4.

Now, to find A, we can substitute it for A.

A is measured by:

$\angle A=9x+6$

Substitute 4 for x and evaluate:

$\angle A=9(4)+6=36+6=42\textdegree$

Hence, our answer is D.