Question

find x in the following figure​

Answer 1

• GIVEN:-

1. $\large{\sf{\angle\:BAC=56\degree}}$
2. $\large{\sf{\angle\:ACD=123\degree}}$

• To Find:-

$\large{\sf{\angle\:ABC.}}$

• SOLUTION:-

We know that,

Exterior angle = sum of 2 opposite interior angles.

$\large{\sf{\angle\:ACD\:is\:exterior\:angle.}}$

According to the question,

Exterior angle = sum of 2 opposite interior angles.

$\large\Longrightarrow{\sf{123=56+x}}$

$\large\Longrightarrow{\sf{123-56=x}}$

$\large\therefore\boxed{\sf{x=67\degree}}$

• Now let's verify it:-

Exterior angle = sum of 2 opposite interior angles.

$\large\Longrightarrow{\sf{123=56+67}}$

$\large\Longrightarrow{\sf{123=123}}$

$\large\therefore\boxed{\sf{LHS=RHS}}$

$\large\red\therefore\boxed{\sf{\red{Value\:of\:\angle\:ABC=67\degree.}}}$

Answer 2

꧁ Answer꧂

Answer is 67°