The picture is not drawn to scale. A right triangle with Angles measuring A degrees and B degrees as the additional angles.

Question

Find the value of x in the expressions if A=3x+51
and B=6x−15
(5 points)
x=

Answer 1

Since A and B are the angles of a right triangle, their sum must be 90 degrees. Therefore, we can set up the equation:

A + B = 90

Substituting the given expressions for A and B:

3x + 51 + 6x - 15 = 90

Combining like terms:

9x + 36 = 90

Subtracting 36 from both sides:

9x = 54

Dividing both sides by 9:

x = 6

So, the value of x is 6.