Question

Bottom left Angle: Top Angle: Bottom right Angle:

Answer 1

Angles in a triangle always add up to 180 degrees

Here, we add up all the angles given to equal it to 180 degrees:

X + X + 10 + X + 5 = 180

Collect like terms -> 3X + 10 + 5 = 180

Add the whole numbers -> 3X + 15 = 180

Take 15 from to the other side (then make it negative) to isolate the X:
3X = 180 - 15

The subtract -> 3X = 165

Take 3 over to the other side (and it it should divide 165) and isolate the X -> X = 165/3

Finally, X = 55

Now wherever you see X in the triangle, replace it with 55.

With that, the top angle = 55 + 10 = 65 degrees
The bottom left angle = 55 + 5 = 60 degrees
The bottom right angle = 55 degrees