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

20°

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} = (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`