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find the value of x. triangle with angles 38°, 99°, and x° x = blank box

Question

find the value of x. triangle with angles 38°, 99°, and x° x = blank box

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(38^\circ + 99^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Add \(38^\circ\) and \(99^\circ\): \(38 + 99 = 137\). So, \(137^\circ + x^\circ = 180^\circ\).

Step3: Solve for \(x\)

Subtract \(137^\circ\) from \(180^\circ\): \(x = 180 - 137 = 43\).

Answer:

\(43\)