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find the value of x. (see example 3) 14. there is a quadrilateral abcd …

Question

find the value of x. (see example 3)
14.
there is a quadrilateral abcd with angle at d being 101°, angle at c being 68°, angle at b being 92°, and angle at a being x°

Explanation:

Step1: Recall quadrilateral angle sum

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

Step2: Sum known angles

Sum the given angles: \(101^\circ + 68^\circ + 92^\circ = 261^\circ\).

Step3: Solve for \(x\)

Subtract the sum from \(360^\circ\): \(x = 360 - 261 = 99\).

Answer:

\(x = 99\)