Question

Find the measure of angle A. This is for my math class, and I’ve been stuck on this for a while. Please help!

Answer 1

Answer:

20°

Step-by-step explanation:

The sum of angles in a ∆ = 180°

Therefore, $(17x - 1) + (3x - 4) + 25 = 180$

Use this expression to find the value of x, then find the measure of angle A.

$17x - 1 + 3x - 4 + 25 = 180$

$17x + 3x - 1 - 4 + 25 = 180$

$20x + 20 = 180$

Subtract 20 from both sides

$20x + 20 - 20 = 180 - 20$

$20x = 160$

Divide both sides by 20

$\frac{20x} = \frac{160}{20}$

$x = 8$

Find measure of angle A.

Angle A is given as $3x - 4$

Plug in the value of x and solve

$A = 3(8) - 4 = 24 - 4 = 20$