(PLEASE HELP) Find the values of x and y

Mathematics

1 answer:

777dan777 [17]3 years ago

3 0

Answer:

x = 90, y = 43

Step-by-step explanation:

By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.

Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.

Now that you have two angles out of three, you can solve for the last angle by setting up this equation:

B + D + A = 180

47 + 90 + A = 180

Add 47 and 90 together.

137 + A = 180

Subtract 137 from both sides.

A = 43

x = D and y = A, therefore x = 90 and y = 43.

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