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defon
2 years ago
11

GEOMETRY PLEASE HELP

Mathematics
1 answer:
marysya [2.9K]2 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

(5)

Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and

∠ABC + ∠CBD = ∠ABD, that is

2x + 3x - 10 = 90, simplifying

5x - 10 = 90 ( add 10 to both sides )

5x = 100 ( divide both sides by 5 )

x = 20, thus

∠ABC = 2x = 2 × 20 = 40°

∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°

(6)

4x - 18 = 3x + 7 ( vertical angles are congruent )

Subtract 3x from both sides

x - 18 = 7 ( add 18 to both sides )

x = 25

7y = 5y + 28 ( vertical angles are congruent )

Subtract 5y from both sides

2y = 28 ( divide both sides by 2 )

y = 14

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