Questions: Find the values of x and y.

Find the values of x and y.
Transcript text: Find the values of $x$ and $y$.
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Solution

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Solution Steps

Step 1: Identify the Known Angles

The given triangle has one angle marked as 38° and a right angle (90°).

Step 2: Calculate the Third Angle

In a triangle, the sum of the angles is always 180°. Therefore, the third angle can be calculated as: \[ 180° - 90° - 38° = 52° \]

Step 3: Determine the Values of x and y

Since the triangle is isosceles (two sides are marked as equal), the angles opposite these sides are also equal. Therefore, the angles marked as x are both 52°.

Final Answer

\[ x = 52° \] \[ y = 38° \]

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