Determine the value of ∠EBD∠EBD. Show your work. Giving 18 POINTS

Mathematics

1 answer:

Trava [24]2 years ago

3 0

The value of ∠EBD is 66°

<h3>Vertically opposite angles</h3>

Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal. Therefore,

∠EBA≅∠CBF

Therefore,

∠EBA = 40 - x

∠EBA + ∠EBD = 90°(complementary angles)

Therefore,

40 - x + 6x - 30 = 90

5x = 90 + 30 - 40

5x = 80

x = 80 / 5

x = 16

Therefore,

∠EBD = 6(16) - 30 = 66°

learn more on angles here: brainly.com/question/10987237

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