Question

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

Answer 1

The value of  ∠EBD is 66°

Vertically opposite angles

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