Question

Plz i need this done quick thx

Answer 1

106 degrees

Explanation:

Sides AB and CD are equal in length and sides AD and BC are parallel to each other. This tells us that angles B and C are equivalent. Knowing this, we can set up the following equation to solve for x:

`4x+42=74+2x`

Subtract both sides by 42

`4x+42-42=74+2x-42\\4x=32+2x`

Subtract both sides by 2x

`4x-2x=32+2x-2x\\2x=32`

Divide both sides by 2

`(2x)/(2) =(32)/(2) \\x=16`

Now, to find angle ABC, or angle B, we can plug x back into its expression:

`4x+42\\= 4(16)+42\\=64+42\\= 106`

Therefore, the measure of angle ABC is 106 degrees.

I hope this helps!