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find the value of x. the quadrilateral has angles 78°, 125°, 70°, and x…

Question

find the value of x. the quadrilateral has angles 78°, 125°, 70°, and x°. x = \boxed{}

Explanation:

Step1: Recall quadrilateral angle sum

A quadrilateral's interior angles sum to \(360^\circ\).

Step2: Sum known angles

Add the given angles: \(78^\circ + 125^\circ + 70^\circ = 273^\circ\).

Step3: Solve for \(x\)

Subtract the sum from \(360^\circ\): \(x = 360^\circ - 273^\circ = 87^\circ\).

Answer:

\(87\)