Question

How do i find the value of x?

Answer 1

The answer will be X = 18

Answer 2

x = 18 (verified by algebra) ✅

Explanation:

When we have two similar triangles, we can use a proportion to determine an unknown value.

`(2x + 80)/(87) = (80)/(60)`

We will cross multiply to get two equivalent equations that can be solved.

(2x + 80) x 60 = 120x + 4800

We can simplify this by dividing both sides by 24 to get a much simpler equation to work with: 5x + 200.

80 x 87 = 6960

We will also divide this by 24. The answer is 290

5x + 200 = 290

Subtract 200

5x = 90

Divide by 5

x = 18

Now, we can also check to make sure we did everything correctly.

(2(18) + 80) x 60 = 120x + 4800

(36 + 80) x 60 = 120(18) + 4800

116 x 60 = 2160 + 4800

6960 = 6960 ✅