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tamaranim1 [39]
2 years ago
14

. If B is a complement of A, and C is a supplement of B, find these measures. A equals 40

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
8 0
Complementary angles add up to 90
so if A and B are complementary....and A = 40, then B = 90 - 40 = 50.

supplementary angles add up to 180
so if B and C are supplementary, and B = 50, then C = 180 - 50 = 130
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∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG

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The triangles BGH and CIH are equal since the have 2 common sides and the respective interior angles are equal. Then we have that BI=GC and also that the respective angles  B and C are equal. THen also HIJ=HGJ since they fill to 180 degrees with angles that are equal.

Hence by angle-side-angle the triangles BJI and CJG are equal.

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