Question

Please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

∠ B = 23°

Explanation:

vertical angles are congruent , so

∠ B = ∠ A , that is

5x - 17 = x + 15 ( subtract x from both sides )

4x - 17 = 15 ( add 17 to both sides )

4x = 32 ( divide both sides by 4 )

x = 8

Then

∠ B = 5x - 17 = 5(8) - 17 = 40 - 17 = 23°

Answer 2

We know that:

Vertically opposite angles are equal

So,

`x + 15 = 5x - 17 \\ 15 + 17 = 5x - x \\ 32 = 4x \\ x = 8`

Therefore;

`\sf \: \angle \: a = x + 15 = > 8 + 15 = 23 \degree`

`\sf \: \angle \: b= 5x - 17 = > 5 * 8 - 17 = > 40 - 17 = 23 \degree`