Question

topic: quadrilaterals
progress
question id: 1186459
the movement of the progress bar may be uneven because 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

Explanation:

Step1: Recall trapezoid angle sum

The sum of interior angles of a quadrilateral (including trapezoids) is $360^\circ$.

Step2: Sum known angles

Calculate total of given angles: $95^\circ + 97^\circ + 85^\circ = 277^\circ$

Step3: Solve for unknown angle $X$

Subtract sum from $360^\circ$: $X = 360^\circ - 277^\circ$

Answer:

$83$