Question

Help, need to find value of x and explain how I did it (the method used)

Answer 1

Correct answer ;

X = 40 degrees

Answer 2

X = 40 degree

Explanation:

First I would name the points whatever you do always name the points it really helps

So,

75 = a

50 = b

The middle point will be o

85 = c

X = d

Ok so,

Angle aob = y

Angle cod = z

Now,

75+50+y=180 (angle sum property)

y=180-125

y=55

Angle y = z (vertically opposite angles)

55+85+x=180 ( angle sum property )

x=180-140

Therefore x=40 degree

In higher classes you will be able to do this in your mind itself without calculation all you need is practice.