Question

The two angles shown form a right angle. Write and solve an equation to find the value of x.

Answer 1

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

$m\angle A=(3x-5)^\circ,\\\\m\angle B=(2x)^\circ.$

According to the given information, the equation can be written and solved as follows :

$m\angle A+m\angle B=90^\circ\\\\\Rightarrow (3x-5)^\circ+(2x)^\circ=90^\circ\\\\\Rightarrow 3x-5+2x=90\\\\\Rightarrow 5x=95\\\\\Rightarrow x=\dfrac{95}{5}\\\\\Rightarrow x=19.$

Thus, the required value of x is 19.

Answer 2

3x-5 +2x = 90 (2 angles form a right angle)
          5x = 95
            x = 19

hope it helps