An almirah is sold at rupees 5225 after allowing discount of 5%. find its marked price

A and B have a ceratin number of mangoes. A says to B If you give 30 of your mangoes I will have twice as many left with you. B replies, if you give me 10, I will have thrice as many as left with you. How many mangoes does each have ?

A,B,C are the three angles of triangle ABC. if A-B=25, and B-C=400, find angles A, B, C. also what type of triangle is it?

thank you

In figure a-b=80 and POQ is a straight line,then find a and b
A regular Pentagon is drawn with all its vertices on a circle of radius 15 cm . calculate the length of the sides of this Pentagon
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#### Question No - 20

In the below figure $AB\left \| CD\left \| EF\: \: and \: \: \: GH\left \| KL$. Find $\angle HKL$ ?

In this question from lines and angles exercise.in the solution it was said that:-

### -----------------------------X----------------------------X------------------------X------------X-----

Now, alternate angles are equal

$\angle CHG=\angle HGN=60^0$

$\angle HGN=\angle KNF=60^0$           [ corresponding angles]

Hence, $\angle KNG=180^{o}-60^{o}=120^{o}$

$\Rightarrow \angle GNK=\angle AKL=120^0$      [ corresponding angles]

$\angle AKH=\angle KHD=25^0$           [ alternative angles]

Therefore, $\angle HKL=\angle AKH+\angle AKL=25+120=145^0$

-------------X-------------------------X--------------------------X------------------------------X-----------------------X----------

In the above said solution where did the 60 degree come from?