Question

Find the angle measure x in the following figures.
i), ii) and iii)​

Answer 1

Answer:

Step-by-step explanation:

Find the angle measure x in the following figures.

i) ANS: Sum of a quadrilateral is 360 degree.

x + 40 degree + 140 degree +100 degree = 360

x + 280 degree = 360 degree

x = 360 degree - 280 degree

x = 80 degree

ii)  ANS: Sum of a quadrilateral is 360 degree.

x + 90 = 180 degree

x = 180 - 90 degree

x = 90 degree

x + 110 degree + 90 degree + 60 degree = 360 degree

x + 260 degree = 360 degree

x = 360 degree - 260 degree

x = 100 degree

iii)​ ANS: Let the number be w

w + 90 degree + 110 degree + 83 degree = 360 degree

w + 283 = 360 degree

w = 360 degree - 283 degree

w = 77

w + x = 180 degree

77 + x = 180 degree

x = 180 - 77

x = 103 degree

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