Question

Help and please show your work

Answer 1

<CBD = 135°

Explanation:

<ABD is a straight angle so <ABD = 180

<ABD = <ABC + <CBD = 180

but

<ABC = 1/3 <CBD --> 3 <ABC = <CBD

The ratio of <ABC to <CBD = 1 : 3

1 + 3 = 4

180 / 4 = 45°

So

<ABC = 45° and <CBD = 3 * 45 = 135°

Answer

<CBD = 135°

Answer 2

<CBD = 135°

Explanation:

<ABD is a straight angle so <ABD = 180

<ABD = <ABC + <CBD = 180

but

<ABC = 1/3 <CBD --> 3 <ABC = <CBD

The ratio of <ABC to <CBD = 1 : 3

1 + 3 = 4

180 / 4 = 45°

So

<ABC = 45° and <CBD = 3 * 45 = 135°

Answer

<CBD = 135°