Find x and y multiple choice

x=30

y=4

Step-by-step explanation:

Since there is an equilateral triangle, those angles =60°, and all sides to that triangle are equal.

You can determine y by looking at the congruent lines on the second triangle. In this triangle, we see that two sides, one of which is a side to the equilateral triangle, are equal to 20. Because one of these sides is a side to the equilateral, we know that all sides of the equilateral triangle are equal to 20, so using simple algebra you can determine that y=4.

To solve for x is a little more difficult. In the equilateral triangle, we know that all angles =60°, therefore we can solve for two angles to use to solve for x. We can solve for the obtuse angle by subtracting 60 from 180=120. then we can solve for the next angle that is next to the equilateral triangle because these two make a right angle so 90-60=30. Now you add the angles you just solved for, subtract that sum from 180, and you get x.

120+30=150

180-150=30

x=30

step-by-step explanation:

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