Question

What is the value of x? Enter your answer in the box

Answer 1

Answer:

32

Step-by-step 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:

$2x - 4 = 5y\\y=\frac{2x-4}{5}$

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

$2x+10y=184\\2x+10(\frac{2x-4}{5})=184\\2x+4x-8=184\\6x=192\\x=32$

So x is 32