Question

What is the value of x?
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Answer 1

32

Explanation:

This is an equilateral triangle, the 3 sides are equal.

Also, that means 3 angles are equal.

Given the 2 angles, we can say:

2x - 4 = 5y

Also, the angle is "5y" as they are equal.

Sum of 3 angles of a triangle is 180, so we can write:

2x - 4 + 5y + 5y = 180

2x + 10y - 4 = 180

2x + 10y = 184 [Equation 2]

From the first equation we can solve for y:

`2x - 4 = 5y\\y=(2x-4)/(5)`

Now, we plug this into Equation 2 and find x:

`2x+10y=184\\2x+10((2x-4)/(5))=184\\2x+4x-8=184\\6x=192\\x=32`

So x is 32