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problem 17: find x and y. (first taught in lesson 30) after you enter y…

Question

problem 17: find x and y. (first taught in lesson 30) after you enter your answer press go. x = y =

Explanation:

Step1: Find $x$

In the right - hand right - triangle, we know one angle is $38^{\circ}$ and another is $90^{\circ}$. Using the angle - sum property of a triangle ($180^{\circ}$ in a triangle), we have $x=180-(90 + 38)=52$.

Step2: Find $y$

In the left - hand triangle, one angle is $67^{\circ}$ and the angle where the perpendicular meets the side is $90^{\circ}$. Using the angle - sum property of a triangle, $y = 180-(90 + 67)=23$.

Answer:

$x = 52$, $y = 23$