Question

In parallelogram PQRS ,angle Q =(4x-5)°and angle S =(3x-10°) . Calculate :angle Q angle R .


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Answer 1

heyy here is ur ans...

we know that in a parallelogrm the sum of opposite angles are equal

so here in llgm PQRS Q and S are opposite angles

so. ( 4x-5 ) = ( 3x-10 )
= 4x - 5 = 3x -10
= 4x -3x = -10 + 5
= x = -5

putting the value of x in both the equations.

Angle Q = 4×(-5) -5 = 25
Angle S = 3×(-5) -10 = 25

so they are same because opp angles are always same

Now in llgm we also know that sum of consecutive angles is 180

so angles Q + angle R = 180
25 + R = 180
R = 180 - 25
R = 155

So the angles of llgm are 155 , 25 , 155 , 25

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