Let's do this question, find X in the following figure was the video, give it a try and then let's
do it together.
All right, we're back.
Let's do it together over here.
This is a five sided polygon, right?
You have the DC, CB and B it.
So it's a five sided polygon.
Now, we know that the sum of interior angles is five sided.
Polygon is equal to N minus two into 180.
That's five minus two, which gives you three and three in two 180.
Right.
All right.
Let me name these angles over here.
This is angle to this is three.
This is four and this is five.
All right.
Now, angle two is equal to 90 degree because of a linear pair.
Right.
It's forming a linear pair with angle 80 F over here, angle E, F plus angle two should be 180 degrees
because it's a linear pair and it's given that angle F is equal to 90 degrees.
Therefore, angle two is equal to 90 degrees.
All right.
So we've got that over here.
Now let's try to find angle three.
And three and this Angola, we hear it all also from a linear right, because it's a straight line,
therefore angle three is equal to 180 minus 60, which is equal to 120 degree will be no angle to be
no angle three.
And this angle over here is 90 degrees.
All right.
Now, what about angle for angle four and 40 degree?
This angle over here also form a linear right.
Therefore, angle four is equal to 180, minus 40.
That's equal to 140 degree.
But we have this angle also.
Now, let me call this angle as angle six.
Now you can see that angle six plus angle two plus angle three plus angle five plus angle four.
That's the five angles of this five sided polygon that would be equal to three to 180.
Right now we have all the angles except angle five.
So let's right the values for 90 plus 90 plus 120 plus five plus one forty five.
Forty three in the one it is five forty.
So solving this you can find that angle five is equal to under degrees right now, angle five and X
on a linear pair, therefore angle five plus X is equal 180 degree and hence X is equal to eighty degrees.
And that is the solution to this question.