Answer:
x = 25
Explanation:
You want to know the value of x when the sides of an equilateral triangle are labeled (4x -3), (3x -5), (2x +20).
Equilateral triangle
The angle markings indicate the angles of the triangle all have the same measure. That means the side lengths all have the same measure. We can use that fact to equate expressions for side length:
4x -30 = 3x -5
x = 25 . . . . . . . . . add 30-3x to both sides
The value of x is 25.
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Check
The side lengths are ...
- 4(25) -30 = 70
- 3(25) -5 = 70
- 2(25) +20 = 70
They are all the same, as expected.