Question

what is the measure of each of the equal angle of a right angled isosceles triangle​

Answer 1

Answer:

by angle sum

angle1+angle2+angle3=180

now angle 1 =90

and angle 2=3 being angle opposite to equal sides

90+2angle2=180

2angle2=180-90

2angle2=90

angle2=90/2

= 45

hence both the angles are 45 degree

Answer 2

Answer:

∠A=45° , ∠B=90° and ∠C=45°

Step-by-step explanation:

GIVEN:-

• A right angled isosceles triangle

NEED TO FIND:-

• Each of the angles of the triangle.

SOLUTION:-

Consider,△ABC

We know that,

in a right angled triangle,one angle is 90°

That implies,

∠B=90°

And also we know that,

two sides are equal in an isosceles triangle.

That imples,

AB=BC

BY THREOM:

Angles opposite to equal sides are equal.

That implies,

∠B=∠C

BY ANGLE SUM PROPERTY:

∠A+∠B+∠C=180°

90°+∠B+∠B=180° (∵∠C=∠B)

2∠B=180°-90°

2∠B=90°

∠B=45°

and ∠B=∠C

=>∠C=45°

HOPE THAT HELPS!!

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