Question

ABC is a right angled triangle in which ∠ A =90° and AB=AC then ∠B and ∠c are *

(a)40°,50°

(b) 30°,60°

(c)70°,20°

(d) 45°,45 ​

Answer 1

Answer:

• ∠B is 45°
• ∠c is 45°

Step-by-step explanation:

Given that,

• ΔABC is right angled triangle.
• ∠A = 90° , AB = AC.

Given, AB = AC,

$\implies$ ∠B = ∠C (Angle opposite to equal sides are equal)

In ΔABC,

$\implies$∠A + ∠B + ∠C = 180° ( Sum of angles of Δ)

$\implies$ 90° + ∠B + ∠C = 180°

[ °.° ∠B = ∠C ]

$\implies$ 90° + ∠B + ∠B = 180°

$\implies$ 2∠B = 180° - 90°

$\implies$ 2∠B = 90°

$\implies$ ∠B = 90°/2

$\implies$ ${\sf{\red{∠B = 45\degree}}}$

$\therefore$ ∠B = ∠C = 45°

Answer 2

$\bf\underline{\underline{\blue{SOLUTION:-}}}$

Question

• ABC is a right angled triangle in which ∠ A =90° and AB=AC then ∠B and ∠c are ?

Answer

• ∠B =∠C= 45°

Given

• ∠A = 90°
• AB = AC

To Calculate

• ∠B , ∠C ?

Step by Step Explanation

AB= AC

➺ ∠C = ∠B ( Angles opposite to equal sides are equal ) ________(1)

In ΔABC

∠A+∠B+∠C = 180° ( Angle sum property)

➺ 90° + ∠B + ∠B = 180° ( From eq1)

➺ 2∠B = 180-90

➺ 2∠B = 90°

➺ ∠B = 90/2

➺ ∠B = 45°

$\bf\underline{\underline{\blue{HENCE:-}}}$

• ∠B = ∠C = 45°

________________________________________________