Question

I need help with this! I am in a geometry-level math class, and I don’t know what it is, but I just can’t get this one. Help appreciated (:

Answer 1

Answer: 15

Explanation:

Given:

AB=BC

AB= CD

Find: ∝

Solution:

Since AB = BC , this means that ΔABC is a 45-45-90.

<A=45

<ABC = 45

Let's use ratio of 45-45-90 to assume length ratio

AB = √2

AC = 1

BC = 1

This means for other triangle:

CD = 1

<CBD = 180 - <ABC > Linear pair

<CBD = 180 - 45

<CBD = 135

Use law of sin to find <D

`(sin D)/(1) =(sin < CBD)/(CD) }`

`sin D =(sin 135)/(√(2)) }`

sin <D = .5

<D = 30

∝ = 180 - <D - <CBD > Angles of triangle =180

∝ = 180 - 30 - 135

∝ = 15