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the measures of the angles of a triangle are shown in the figure below.…

Question

the measures of the angles of a triangle are shown in the figure below. solve for x. 49° x° 34° answer attempt 1 out of 2 x = submit answer

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(49^\circ + 34^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Add \(49\) and \(34\): \(49 + 34 = 83\).

Step3: Solve for x

Subtract the sum from \(180\): \(x = 180 - 83 = 97\).

Answer:

\(x = 97\)