Question

in an isosceles triangle ABC, AB=AC and A=30°. find B and C

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Answer 1

Given: a = 30°.

To find: The measure of b and c.

Answer:

Since one angle is given, (a = 30°), b = c as it is an isosceles triangle.

In an isosceles triangle, two angles are

equal.

Since b = c, let us take its measure as x. a + x + x = 180° (Angle Sum Property) (All angles of a triangle add up to 180°)

30° + x + x = 180°

30° + 2x = 180°

2x = 180° -30°

2x = 150°

x = 150°/2

x = 75°

Therefore the measure of angles b and c is

75°.

Proof: Using Angle Sum Property, a + b + c = 180°

LHS: a + b + c

30° + 75° + 75°

= 180°

= RHS

Hope it helps :)

Answer 2

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✿Given :- A = 30°

✿To Find :- The Measure Of B And C

✿Rember:- In an Isosceles Traingle, two angles are equal

Sum of all Angle in a Traingle= 180°

Solution:-

B = C Let, us take it measure be x

✿A+X+X= 180°

✿ A+2x= 180°

✿ 2x=180°- 30°

✿2X = 150°

Hence,

$x = \frac{150}{2}$

$x = \: 75$

So,B And C = 75°

✿Hence Solved

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