Questions: The image contains a geometric diagram depicting a rectangle. The text included in the image is: x 58° 38°

The image contains a geometric diagram depicting a rectangle. The text included in the image is: x 58° 38°
Transcript text: The image contains a geometric diagram depicting a rectangle. The text included in the image is: x 58° 38°
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Solution

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Solution Steps

Step 1: Identify the Given Angles

The diagram shows a right triangle with one angle given as 38° and the right angle as 90°.

Step 2: Calculate the Third Angle

In a triangle, the sum of the angles is always 180°. Therefore, we can find the third angle \( x \) by subtracting the sum of the given angles from 180°. \[ x = 180° - 90° - 38° \]

Step 3: Perform the Calculation

\[ x = 180° - 128° \] \[ x = 52° \]

Final Answer

The value of \( x \) is 52°.

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