Question

Find the value of x.

A.
25
B.
32.5
C.
37.5
D.
65

Answer 1

The answer is A. 25.
Hope this helped!

Answer 2

Answer: The correct option is (A) 25.

Step-by-step explanation: We are given to find the value of x from the figure shown.

From the figure, we note that there are two parallel lines and a transversal.

Also, the angles with measurements (x + 40)° and (3x - 10)° are corresponding angles.

Since the measures of two corresponding angles are equal, so we must have

`(x+40)^\circ=(3x-10)^\circ\\\\\Rightarrow x+40=3x-10\\\\\Rightarrow 3x-x=40+10\\\\\Rightarrow 2x=50\\\\\Rightarrow x=(50)/(2)\\\\\Rightarrow x=25.`

Thus, the required value of x is 25.

Option (A) is CORRECT.