Q. 54.2( 5 Votes )

# <span lang="EN-US

Answer :

Here given triangle is isosceles right angled triangle.

So let our triangle be ∆ABC, right angled at A.

∴ ∠A = 90°

Here, AB = AC, as our given triangle is isosceles triangle.

Hence, base angles, ∠B and ∠C are equal.

Also, We know that,

Sum of all angles in any triangle = 180°

∴ ∠A + ∠B + ∠C = 180°

90° + 2 ∠B = 180°

2∠B = 90°

∠B = 45°

Hence the measure of each of the equal angles of a right-angled isosceles triangle is 45°

Rate this question :

Prove that the anRS Aggarwal & V Aggarwal - Mathematics

If the sides of aRD Sharma - Mathematics

D is any point onNCERT Mathematics Exemplar

In a triangle *RD Sharma - Mathematics*

In Δ *ABC**RD Sharma - Mathematics*

In Δ *PQR**RD Sharma - Mathematics*

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

Prove that the peRD Sharma - Mathematics

In Fig. 10.25, <iRD Sharma - Mathematics

In a <span lang="RD Sharma - Mathematics