icy68
icy68 icy68
  • 02-03-2022
  • Mathematics
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find the value of the variables, giving brief reasons for your answer:​

find the value of the variables giving brief reasons for your answer class=

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semsee45
semsee45 semsee45
  • 02-03-2022

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°

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