Determine the measure of each of the equal angles of a right angled isosceles triangle. OR ABC is a right-angled triangle in which ∠ A = 90° and AB = AC . Find ∠ B and ∠ C .

Question

Determine the measure of each of the equal angles of a right angled isosceles triangle. OR ABC is a right-angled triangle in which &#x2220; A = 90&#xB0; and AB = AC . Find &#x2220; B and &#x2220; C .

Philoid · Accepted Answer

Given,

ABC is a right-angled triangle

∠A = 90°

And,

AB = AC

To find: ∠B and ∠C

Since, AB = AC

Therefore, ∠B = ∠C

And, Sum of angles in a triangle = 180^o

∠A + ∠B + ∠ C = 180^o

90^o + 2∠B = 180^o

2∠B = 90^o

∠B = 45^o

Hence, the measure of each angle of the equal angles of a right angle isosceles triangle is 45^o.

Determine the measure of each of the equal angles of a right angled isosceles triangle.ORABC is a right-angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.

Determine the measure of each of the equal angles of a right angled isosceles triangle.
OR

ABC is a right-angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.