Question

Find the value of x in each case:

Answer 1

36

Explanation:

The angles of the triangle are going to be, (x), (180-2x), (180-4x)

and since the sum of the angles of a triangle is 180, then:

x + (180-2x) + (180-4x) = 180

-5x + 360 = 180

-5x = 180 - 360

-5x = -180 (Multiply both sides by -1)

5x = 180

x = 36

So, the three angles will be: 36, 144 and 72

Answer 2

x=36

2x=72

4x=144

Explanation:

Remember that the sum of all the inside angles of a triangle = 180

so angle E is 180-2x

and angle F is 180-4x

If you add angles E, F, and G, they need to add to 180.

substituting, we get 180-2x + 180-4x + x = 180.

Simplifying this, we get 180-5x = 0

and x=180/5 = 36

so if x=36, then 2x=72 and 4x=144