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

Please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!-example-1

2 Answers

2 votes

Answer:

∠ 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°

User Ruslan  Ismagilov
by
8.4k points
6 votes

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

User Tim Isganitis
by
8.1k points

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