Question

A triangle has a bottom left angle of (x + 15) degrees and a bottom right angle of (x degrees). 1 parallel and horizontal line sits at the top point of the triangle. Another parallel and horizontal line sits at the base of the triangle. The exterior angle to the bottom right angle of the triangle is (4 x minus 20) degrees.
What is the value of x?

Answer 1

Answer:

The value of x is 40°

Step-by-step explanation:

The triangle described in the text of the question is shown in the image attached.

Note the angles x and 4x-20 are supplementary since they form a line. Thus:

x + 4x - 20 = 180

Simplifying:

5x - 20 = 180

Adding 20:

5x = 200

Solving:

x = 200/5 = 40

The value of x is 40°