6.1k views
1 vote
Find the value of x, please show your work

Find the value of x, please show your work-example-1
User NeoNe
by
3.7k points

1 Answer

7 votes

Answer:the value of x is 30 degrees

Explanation:

The sum of the angles on a straight line is 180 degrees. This means that the exterior angle of the triangle, 4x + the third interior angle of the triangle = 180

The third angle = 180 - 4x

Also, the sum of the angles in a triangle is 180 degrees. This means that

180 - 4x + 90 + x = 180

- 4x + x = 180 - 180 - 90

- 3x = - 90

x = - 90/ - 3

x = 30 degrees

User Shyam Achuthan
by
4.0k points