Question

can anyone please answer this with explanation

Answer 1

Hii There!!!!


It's simple....See

Here in the given figure,

angle YXZ = angle XZW = 75°---- ( alternate interior angles ).

So, angle p = 75° -----------1)


Now,

angle WZU + angle XZW + angle YZX = 180°
( By linear pair )


=> 45° + 75° + angle r = 180°


=> angle r = 180° - 120°

=> angle r = 60° ----------2)



Also, angle p + angle q + angle r = 180° (Angle sum property of triangles )


On putting values we get ;

=> 75° + angle q + 60° = 180°

=> angle q = 180° - 135°


=> angle q = 45° ---------3)




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I hope it's clear to uh....☺



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