Question

find the angle measure x in the following figure.

please give me answer step by step. ​

Answer 1

Answer:

80°

Step-by-step explanation:

as the two lines are parallel ,

by using alternative interior angles properties we get,

x = 80°

ALTER:

80 + z = 180° ------  (linear pair)

z = 100°

70+y=180 ------ (linear pair)

y = 110°

110+a = 180° --------- (linear pair)

a = 70°

100 + 110 + 70 +x = 360° ------ (sum of all angles of quadrilateral add up to 360)

x = 360 - 180

x = 80°

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