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29 votes
29 votes
40 POINTS!!!! HELP ME PLEASE

40 POINTS!!!! HELP ME PLEASE-example-1
User Kimimaro
by
3.3k points

1 Answer

15 votes
15 votes

Answer:

x = 4 , ∠ A = 65° , ∠ B = 88° , ∠ C = 23°

Explanation:

∠ A + ∠ C = 88 , substitute values for A and C

5x + 3 + 15x + 5 = 88

20x + 8 = 88 ( subtract 8 from both sides )

20x = 80 ( divide both sides by 20 )

x = 4

Then

∠ A = 15x + 5 = 15(4) + 5 = 60 + 5 = 65°

∠ A + ∠ C = 88° , that is

65° + ∠ C = 88° ( subtract 65° from both sides )

∠ C = 23°

∠ B = ∠ A + ∠ C ( vertically opposite angles )

∠ B = 88°

User Overnet
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3.4k points