Question

Can anyone help me with this question please

Answer 1

Answer:

  7.  ∠CBD = 100°

  8.  ∠CBD = ∠BCE = 100°; ∠CED = ∠BDE = 80°

Step-by-step explanation:

7. We presume the angles at A are congruent, so that each is 180°/9 = 20°.

Then the congruent base angles of isosceles triangle ABC will be ...

  ∠B = ∠C = (180° -20°)/2 = 80°

The angle of interest, ∠CBD is the supplement of ∠ABC, so is ...

  ∠CBD = 180° -80°

  ∠CBD = 100°

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8. In the isosceles trapezoid, base angles are congruent, and angles on the same end are supplementary:

  ∠CBD = ∠BCE = 100°

  ∠CED = ∠BDE = 80°