jow do i do this (10.35)
Answers
a-2b=30°
=> a=30+2b
Fill value of a in another equation.
(30+2b)+b=180°
3b=150°
b=50°
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Angles on a straight line add up to 180
⇒ a + b = 180
.
a - 2b = 30 (Given)
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Solve a and b:
a + b = 180 --------- [ 1 ]
a - 2b = 30 --------- [ 2 ]
From [ 2 ]:
a - 2b = 30
a = 30 + 2b ----------- Substitute into [ 1 ]
a + b = 180
(30 + 2b) + b = 180
30 + 2b + b = 180
30 + 3b = 180
3b = 150
b = 50 ----------- Substitute into [ 1 ]
a + 50 = 180
a = 130
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Answer: a = 130° and b = 50°
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