233k views
0 votes
What is the value of x?
X=32
X=36
X=37
X=40

What is the value of x? X=32 X=36 X=37 X=40-example-1
User Amaechler
by
4.9k points

2 Answers

2 votes
A line is 180 degrees so write x+(4x-20)=180
User Hardeep Pandya
by
4.6k points
3 votes

Answer: x = 40

Explanation:

Always when you have a line and another line that cuts it, two consecutive angles always add up to 180° (the plane angle)

Then, in this case we can see that:

x + (4*x - 20) = 180

for the internal angle of the right and the external one.

now, we can solve this equation for x.

x + 4*x - 20 = 180

5*x = 180 + 20 = 200

x = 200/5 = 40

User Bartosz Milewski
by
5.0k points