129k views
6 votes
Someone help me do this please. I included a picture.

Someone help me do this please. I included a picture.-example-1

1 Answer

4 votes

Answer:

52° and 128°

Explanation:

The sum of the angles in a triangle is 180°

So to find the angles, the easiest thing to do is to use that fact.

There is one angle missing in the triangle shown, so to find it you need to subtract (5x-2)° from 180° since the angle is located on a line.

Simplifying that, you get 180°-(5x-2)°.

Now you can use the fact at the top of these instructions.

So you get the equation: 180°=2x°+76°+180°-(5x-2)°

Solving this equation, you get x=26

Plug x into the values that have x in the picture, and you get 52° and 128°

User Leyo R
by
4.6k points