Question

I need to find each angle. Please help!!

Answer 1

Hello!

The interior angles of every triangle add to equal 180 degrees. With that, you can add all angle expressions and set them to equal 180 to find x:

180 = 2x + 50 + x + 46 + 3x
180 = 6x + 96
84 = 6x
14 = x

Now, substitute 14 for x in each expression to find the value of each angle:

2x + 50  =>  2(14) + 50  =>  28 + 50  =>  78
x + 46  =>  14 + 46  =>  60
3x  =>  3(14)  =>  42

Let's check our work:

180 ? 78 + 60 + 42
180 = 180  <--True

Angle A = 42 degrees
Angle B = 78 degrees
Angle C = 60 degrees

Hope this helps!