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in similar triangles, the angles are equal and the sides are proportion…

Question

in similar triangles, the angles are equal and the sides are proportional. true false question 2 1 pts what is the measure of the third angle, in degrees, in a triangle in which two of the angles measure 32 degrees and 61 degrees? 93 degrees 34 degrees 67 degrees 87 degrees

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Calculate the third - angle

Let the third angle be \(x\). We know that \(x + 32^{\circ}+61^{\circ}=180^{\circ}\). Then \(x=180^{\circ}-(32^{\circ} + 61^{\circ})\). First, calculate \(32^{\circ}+61^{\circ}=93^{\circ}\). Then \(x = 180^{\circ}-93^{\circ}=87^{\circ}\).

Answer:

87 degrees