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a + b + c vs 180
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26 Sep 2018, 15:34
26 Sep 2018, 15:34
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76% (00:38) correct
23% (00:16) wrong based on 108 sessions
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Quantity A |
Quantity B |
a + b + c |
180 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: a + b + c vs 180
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27 Sep 2018, 01:58
27 Sep 2018, 01:58
1
the sum of all exterior angles of all polygons is 360 degrees. hence A is greater than B.
OR
LET A,B,C be the interior angles of a,b,c respectively. Hence, a=180-A, b=180-B, c=180-C.
a+b+c= 180-A+180-B+180-C = 180-180-180- (A+B+C) = 540- 180 (USING ANGLE SUM PROPERTY)
a+b+c=360.
OR
LET A,B,C be the interior angles of a,b,c respectively. Hence, a=180-A, b=180-B, c=180-C.
a+b+c= 180-A+180-B+180-C = 180-180-180- (A+B+C) = 540- 180 (USING ANGLE SUM PROPERTY)
a+b+c=360.
