Question

In the figure, AB||CD and BC||AE. Let ABD measure (3x+4), BCD measure (6x-8), and EDF measure (7x-20).

What does angle BCD measure?

Answer 1

The measure of angle BCD is
`68.5\°`

Explanation:

step 1

Find the value of x

In this problem

`m<ABD+m<BCD+m<EDF=180\°` -----> is a straight line

substitute the values

`(3x+4)+(6x-8)+(7x-20)=180\°`

`(16x-24)=180\°`

`16x=180\°+24\°`

`x=12.75\°`

step 2

Find the measure of angle BCD

`m<BCD+=(6x-8)\°`

substitute the value of x

`m<BCD+=(6(12.75)-8)=68.5\°`