Question

find the value of x. (a quadrilateral with angles x°, 118°, 97°, 92° is shown. we need to find x. the answer box is x = )

Explanation:

Step1: Sum of quadrilateral interior angles

The sum of interior angles of a quadrilateral is $(4-2)\times180^\circ = 360^\circ$.

Step2: Calculate sum of known angles

Add the given angles: $118^\circ + 97^\circ + 92^\circ = 307^\circ$.

Step3: Solve for $x$

Subtract the sum from $360^\circ$: $x = 360^\circ - 307^\circ$.

Answer:

$53^\circ$