please solve x in the following question
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Answer:
Step-by-step explanation:
70 + 120 + 90 + y = 360
190 + 90 + y = 360
280 + y = 360
y = 360 - 280
y = 80
x + y = 180
x + 80 = 180
x = 180 - 80 = 100
x = 100
Answered by
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Key points:-
Sum of angles of quadrilateral is equal to 360°
Sum of angles constituting linear pair is equal to 180°
Solution:-
angle CBA = 90°
angle BAD = 180°-x. [linear pair]
angle ADC = 180°-110° = 70°. [linear pair]
angle BCD = 180°-60° = 120°. [linear pair]
Now, 90+180-x+70+120 = 360
or, x = 460-360 = 100°
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