Consider the triangle below. Determine the angle measure for angle A and angle M in order for triangle GAM to be classified as an isosceles triangle.

Given :

▪︎Measure of ∠G = 64°

▪︎△GAM is an isosceles triangle.

We know that :

▪︎The opposite base angles of an isosceles triangle are always equal.

Let the measure of ∠A be x.

Then, the measure of ∠M will also be x.

Which means :

Since the sum of all these angles is equivalent to 180°[64+58+58=180], we can conclude that we have found out the correct measure of each of these angles.

Measure of ∠A = 58°

Measure of ∠M = 58°

555.99.

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