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We know that sum of all angles in a quadrilateral is 360°
(i) 80 + 110 + 90 + a = 360
280 + a = 360 ----(see image)
a = 360 - 280
a = 80
a + x = 180 -------- [linear pair]
80 + x = 180
x = 180 - 80
x = 100
(ii) x + x + 65 + 35 = 360
2x + 100 = 360
2x = 360 - 100
2x = 60
x = 60/2
x = 30
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We know that sum of all angles in a quadrilateral is 360°
(i) 80 + 110 + 90 + a = 360°
280° + a = 360°
a = 360° - 280°
a = 80°
a + x = 180 -------- [linear pair]
80 + x = 180
x = 180 - 80
x = 100
(ii) x + x + 65 + 35 = 360
2x + 100 = 360
2x = 360 - 100
2x = 60
x = 60/2
x = 30
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