One of the angle of a parallelogram is twenty four degree less than do

1.	One of the angle of a parallelogram is twenty four degree less than double the smallest angle. The bigger angle of the parallelogram is ………………. . *a.68°b.102°c.112°d.176°
Answer» Answer: x = SMALLER angle 2x-24 = Larger angle Sum of angles of a PARALLELOGRAM = 360° ATQ, (x) + (x) + (2x-24) + (2x-24) = 360° (2x) + (4x - 48) = 360° 6x - 48 = 360° 6x = 408 x = 68 ∴, Larger angle= 2x - 24 = (2)(68) - 24 = 136 - 24 = c) 112

One of the angle of a parallelogram is twenty four degree less than double the smallest angle. The bigger angle of the parallelogram is ………………. . *a.68°b.102°c.112°d.176°

Answer»

Answer:

x = SMALLER angle

2x-24 = Larger angle

Sum of angles of a PARALLELOGRAM = 360°

ATQ,

(x) + (x) + (2x-24) + (2x-24) = 360°

(2x) + (4x - 48) = 360°

6x - 48 = 360°

6x = 408

x = 68

∴, Larger angle= 2x - 24 = (2)(68) - 24 = 136 - 24 = c) 112

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One of the angle of a parallelogram is twenty four degree less than double the smallest angle. The bigger angle of the parallelogram is ………………. . *a.68°b.102°c.112°d.176°

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