Question

find the value of x in degree in the following figure ​

Answer 1

Step-by-step explanation:

(x+30)+(x+15)+x=180(angle sum property of triangle)

x+30+x+15+x=180

3x+45=180

3x=180-45

3x=135

x=135

3

x=45

angle A=x+30

=45+30=75°

angle B=x+15

=45+15=60°

angle C=x

=45°

Answer 2

Step-by-step explanation:

Given :-

In ∆ ABC , < A = (x+30)° , < B = (x+15)° and <C = x°

To find:-

Find the value of x ?

Solution :-

Given that

In ∆ ABC , A ,B,C are the three angles

< A = (x+30)° ,

< B = (x+15)°

and <C = x°

We know that

The sum of all the three angles in a triangle is equal to 180°

=> < A + < B + < C = 180°

=> (x+30)° + (x+15)° + x° = 180°

=> x°+30°+x°+15°+x° = 180°

=> (x°+x°+x°) +(30°+15°) = 180°

=> 3x° +45° = 180°

=> 3x° = 180°-45°

=> 3x° = 135°

=> x° = 135°/3

=> x° = 45°

Therefore, x= 45°

Answer:-

The value of x for the given problem is 45°

Used formulae:-

Angle Sum Property:-

→ The sum of all the three angles in a triangle is equal to 180°