Question

Find the value of x in the given triangle ABC

Answer 1

Answer:

The value of x is 30°

Step-by-step explanation:

sum of angle of triangle = 180°

3x° + 2x° + x° = 180°

6x° = 180°

x° = 180°/6

x° = 30°

Answer 2

Questions

Find the value of x from the given figure

Given

∠BAC=3x°

∠ABC=2x°

∠ACB=x°

To Find

Value of x

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Step by step explanation

We know that in a triangle the sum of all Interior angles is 180° this is called" angle sum property of triangle".

By angle sum property :

=>∠BAC+∠ABC∠ACB=180°

=>3x°+2x°+x°=180°

=>5x+x=180°

=>6x=180°

=>x=180/6=30

x=30°

∴The value of x is 30°

Finding other angles of triangle:

∠BAC=3x=3×30°=90°

∠ABC=2x=2×30°=60°

∠ACB=x=30°

Check

=>∠BAC+∠ABC∠ACB=180°

=>90°+60°+30°

=180°

Extra information=>

• The sum of two interior angles is equal to the exterior angle.
• If two angles are formed on a straight line then it is said to be linear pair and it makes 180°.