What is the value of x

Step-by-step explanation:

with 45 45 90 triangles which is what ACB is. the hypotenuse can be equalized with and the two legs have a length of x

so the side length for AB and BC is 6.

and since Triangle BCD is a 30 60 90 triangle.

the side lengths that would be corresponding would have the ratio of

x, , and 2x

so if 2x=6 x=3

then the value for x or BD is 3

Hope that helps :)

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

what is

step-by-step explanation: