The measure of each of the two base angles is 50°.
What is the angle sum property of a triangle?
In a triangle, the sum of all three angles is equal to 180°.
Given,
One of the angles = 80°
Also, the two base angles are equal by symmetry.
Let, the base angles be x.
By angle sum property we have:
x + x + 80° = 180°
2x + 80° = 180°
2x = 180° - 80°
2x = 100°
x = 50°
Hence, the measure of each of the two base angles is 50°.
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