Question

Find the value of X and Y

Answer 1

x = 30

y = 5

Explanation:

Because the top triangle shows 3 congruent angles, we know it's an equilateral.

Therefore 8y = 40

y = 5

______________

Now we have two sides of the triangle: 40 and 80.

The lower left angle of the whole triangle must be 90 degrees because if the hypotenuse is twice the adjacent side, it must be a 30-60-90 triangle.

So, the larger angle containing angle x must be 90 degrees. And because we know that the adjacent angle (equilateral triangle) is 60 degrees, angle x must be 30.