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the measures of two angles of a triangle are given. find the measure of…

Question

the measures of two angles of a triangle are given. find the measure of the third angle.
48°, 91°

the measure of the third angle is □°.
(simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Calculate the third angle

Let the third angle be \(x\). Then \(48^\circ + 91^\circ + x = 180^\circ\). First, add \(48\) and \(91\): \(48 + 91 = 139\). Then, solve for \(x\): \(x = 180 - 139 = 41\).

Answer:

\(41\)