find the value of the variables, giving brief reasons for your answer:
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Answer:
a = 70°
b = 80°
Step-by-step explanation:
Angles on a straight line add up to 180°
⇒ a + 110 = 180
⇒ a = 180 - 110
⇒ a = 70°
The sum of the interior angles of a quadrilateral is 360°
⇒ a + b + 130 + 80 = 360
⇒ 70 + b + 130 + 80 = 360
⇒ b + 280 = 360
⇒ b = 360 - 280
⇒ b = 80°