Question

In a right angled isosceles triangle shown below, what is the value of ∠BAC?
a) 45
b) 90
c) 125
d) 110​

Answer 1

Since the two base angles are congruent (same measure), they are each 70°. If we are given a base angle of say 45°, we know the base angles are congruent (same measure) and the interior angles of any triangle always add to 180°. So the apex angle must be 180-45-45 or 90°.

Answer 2

Answer:

45°

Step-by-step explanation:

In an isosceles triangle , opposite angles are equal of two equal sides.

AB =AC

Angle A =C

Let angle A = x

So c = x

According to angle sum property of triangle,

90+x+x = 180

90+2x= 180

2x= 180/2

2x=90

X= 90/2=45°

Hence, angle A and C are 45°..

✓BAC = 45°.