Question

Plz i need this done quick thx

Answer 1

Answer:

106 degrees

Step-by-step 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

$\frac{2x}{2} =\frac{32}{2} \\x=16$

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!