[Answer] Triangle ABC is an isosceles right triangle. What is the measure of a base angle?

Answer: 45°

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Triangle ABC is an isosceles right triangle. What is the measure of a base angle? Answer: The measure of the base angle = 45°. Step-by-step explanation: For better explanation of the solution see the attached figure of the diagram : Given : An isosceles right triangle ABC. To find : Measure of the base angle. Solution : Since The triangle is right angle triangle. ⇒ m∠B = 90°. Equilateral Triangle → 3 equal sides. Isosceles Triangle → 2 equal sides. Scalene Triangle → no equal sides. If triangle ABC is an isosceles right triangle then one of the angles will be 90°. The other two angles ( base angles ) will have the same value. We could draw this triangle as shown in the attachment. Let: the base angle = x. x + x + 90º = 180º. 2x + 90º = 180º To find : Measure of the base angle. Solution : Since The triangle is right angle triangle. ⇒ m∠B = 90°. If Triangle ABC is an isosceles right angle base angle would be equal to 45 degree . It is because in an isosceles right triangle two angle remains equal (45) and one is … Equilateral Triangle → 3 equal sides. Isosceles Triangle...

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