The movement of the progress bar may be uneven becouse questions can be worth more or less (including zero) depending on your answer. A trapezoid has interior angle measures of \( 95^{\circ}, 97^{\circ}, 85^{\circ} \) and \( X \) degrees. Find the measure of angle \( X \) in the trapezoid. Enter only the number of degrees in the answer box. The solution is

To find the measure of angle \( X \) in the trapezoid, we use the fact that the sum of the interior angles in any quadrilateral is \( 360^{\circ} \). So, we can set up the equation: \[ 95^{\circ} + 97^{\circ} + 85^{\circ} + X = 360^{\circ} \] Adding the angles we already have: \[ 95 + 97 + 85 = 277^{\circ} \] Now, we can find \( X \): \[ 277^{\circ} + X = 360^{\circ} \] Subtract \( 277^{\circ} \) from both sides: \[ X = 360^{\circ} - 277^{\circ} \] \[ X = 83^{\circ} \] So, the measure of angle \( X \) is \( 83 \) degrees. 83