Question

Find mZA and mZB. Please help :)

Answer 1

Answer:

Angle A: 28 degrees

Angle B: 24 degrees

Step-by-step explanation:

Hi there!

The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:

$4y-4+3y=52$

1) Solve for y

$4y-4+3y=52$

Combine like terms

$7y-4=52$

Add 4 to both sides to isolate 7y

$7y-4+4=52+4\\7y=56$

Divide both sides by 7

$\frac{7y}{7}=\frac{56}{7} \\y=8$

Therefore, y is equal to 8.

2) Solve for angles A and B

Angle A:

$4y-4\\=4(8)-4\\=32-4\\=28$

Angle B:

$3y\\=3(8)\\=24$

I hope this helps!