Find the value
a, b&c.
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A==
75° because alternative interior angless... .
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Step-by-step explanation:4b+2c=180°..........angles in linear pair4b=180°-2c............(1)
2c + a=180°..........angles in linear pair
a =180°-2c.............(2)
4b=a........(3)
4b+b+75°=180°......angles in linear pair
5b+75°=180°
5b=105°
b=105°/5
b=21°
put b=21° in equation3
4b=a
4×21=a
a=84°
put a=84° in equation
2a=180°-2c
2c=180°-a
2c=180°-84°
2c=96°c=96°/2c=48°
The values of a,b and c are 21°,48° and 84°.
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