Question

Find the measure of each angle of an isosceles right-angled triangle​

Answer 1

Answer:

Since the two sides are equal which makes the corresponding angle congruent. Thus, in an isosceles right triangle two sides are congruent and the corresponding angles will be 45 degree each which sums to 90 degree. So the sum of three angles of the triangle will be 180 degrees.

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Answer 2

Answer:

90°, 45°, 45°

Explanation:

Please refer to attachment

Let's take an isosceles right-angled triangle ABC, right-angled at B

angle B = 90°

Now, AB = BC (isosceles triangle)

=> angle A = angle C (angles opposite to equal sides are equal) --------1

According to angle sum property,

angle A+ angle B+ angle C = 180°

2angle A = 180°-90° = 90° (from ----1)

angle A = angle C = 45°