Question

if angle a is equal to four angle b is equal to 6 anglesey find all angles of the triangle​

Answer 1

$\bigstar$ Correct Question:

In $\triangle$ ABC, if $\angle$A =4 $\angle$B = 6$\angle$C, find all the angles of the triangle.

$\bigstar$Given:

$\angle$A = 4$\angle$B = 6$\angle$C

$\bigstar$To find:

Find all the angles of the $\triangle$ABC.

$\bigstar$ Solution:

Let every angle be in terms of x.

So, = 2 $\angle$C

( $\because$ 3 $\angle$B = 6$\angle$C))

$\angle$A = 3 $\angle$C

( $\because$ 2 $\angle$A = 6 $\angle$C)

$\angle$C = $\angle$C

$\because$ $\angle$A + $\angle$B + $\angle$C = 180°

( By angle sum property of a Triangle)

$\implies$ 3 $\angle$C + 2 $\angle$C + $\angle$C = 180°

( By substituting the values of angles in terms of $\angle$C)

$\implies$ 6 $\angle$C = 180°

$\implies$ $\angle$C = 180°/6

$\implies$ $\angle$C = 30°

$\bigstar$Answer:

$\therefore$The angles are :

• $\angle$ C = 30°
• $\angle$ B = 2 $\angle$C = 2 × 30° = 60°
• $\angle$ A = 3 $\angle$C = 3 × 30° = 90°