The value of x is 13°.
Step-by-step explanation:
Step 1:
The angle made by any right angle is 90°. So angle C is 90°.
The total angle made by a triangle is always 180°.
The sum of all three angles in a triangle is 180° for any triangle formed.
Step 2:
The angles of the given triangle are [tex]3x[/tex], [tex]4x-1[/tex] and 90. The sum of these values is 180. So
[tex]3x+(4x-1)+90 = 180, 7x + 89 = 180.[/tex]
[tex]7x= 180-89 = 91, x = \frac{91}{7} = 13.[/tex]
So the value of angle x is 13°.
