Questions: missing angle measurement

Transcript text: missing angle measurement

Solution

Step 1: Identify the sum of interior angles in a quadrilateral

The sum of the interior angles in any quadrilateral is always 360 degrees.

Step 2: Set up the equation

Given the angles in the quadrilateral are 91°, 97°, 64°, and x°, we can set up the equation: \[ 91° + 97° + 64° + x° = 360° \]

Step 3: Solve for the missing angle

Combine the known angles and solve for x: \[ 91° + 97° + 64° = 252° \] \[ 252° + x° = 360° \] \[ x° = 360° - 252° \] \[ x° = 108° \]

The missing angle \( x \) is \( 108° \).

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