The value of x is 28
Solution:
The approximate image of the question is attached below.
Given data:
The angles of the triangle are x°, (2x + 5)° and (3x + 7)°.
By triangle sum theorem,
Sum of all the angles of the triangle = 180°
x° + (2x + 5)° + (3x + 7)° = 180°
x° + 2x° + 5° + 3x° + 7° = 180°
6x° + 12° = 180°
Subtract 12° from both sides of the equation, we get
6x° = 168°
Divide by 6° on both sides of the equation, we get
x° = 28°
x = 28
The value of x is 28.
