Question

3. In a
In a right angled triangle ABC, if AB=BC and ZB=90°, then ZC =
(a) 45°
(b) 90°
(c) 60°
(d) 180°
​

Answer 1

In a right angled triangle ABC, if AB=BC and ZB=90°, then ZC =

(a) 45°

(b) 90°

(c) 60°

(d) 180°

Answer 2

Answer:

a) 45°

Step-by-step explanation:

As AB=BC

then ∠A=∠C   (∵Angles opposite to equal sides of a triangle are equal)

∴ ∠A+∠B+∠C= 180°    

∠C+90+∠C= 180°     (∠B= 90°⇒ GIVEN)

2∠C= 90°

∴∠C = 45°