Question

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

Answer 1

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

hope it helps

Answer 2

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=(95)/(5)\\\\\Rightarrow x=19.`

Thus, the required value of x is 19.