Question

Possible measure of angles a right angled isosceles triangle

Answer 1

In the figure , let AB =AC and <A = 90

Since angles opposite to equal sides are equal <C=<B

By angle sum property, <A +<B+<C=180

90+ <B+<C=180

<B+<C=90

since B=C,B+C=2B=2C

2B=2C=90

B=C=45

A=90,B=C=45

Hope it helps you. ☺

Answer 2

Answer:

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. ... Thus, in an isosceles right triangle, two legs and the two acute angles are congruent. Since it is a right triangle, the angle between the two legs would be 90 degrees, and the legs would obviously be perpendicular to each other.