Answer: The required value of x is 19.
Step-by-step explanation: Given that the two shown angles in the picture forms a right angle.
We are to write and solve an equation to find the value of x.
From the figure, we note that
the measures of the two angles are
[tex]m\angle A=(3x-5)^\circ,\\\\m\angle B=(2x)^\circ.[/tex]
According to the given information, the equation can be written and solved as follows :
[tex]m\angle A+m\angle B=90^\circ\\\\\Rightarrow (3x-5)^\circ+(2x)^\circ=90^\circ\\\\\Rightarrow 3x-5+2x=90\\\\\Rightarrow 5x=95\\\\\Rightarrow x=\dfrac{95}{5}\\\\\Rightarrow x=19.[/tex]
Thus, the required value of x is 19.
