Using the diagram below, find x.

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.