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umka2103 [35]
3 years ago
8

How do I do the problem below -

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0
The answer is x = -4 or x = 9
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A and B are complementary angles if angle a equals (X +24) and angle B equals (X +16) then what is the measurement of b
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If A and B are complementary angles, then they add up to 90 degrees.

So A + B = 90 => (x + 24) + (x + 16) = 90 => 2x + 40 = 90 => 2x = 50.

So x = 25, and thus, the measurement of B is (25 + 16) = 41.

The measurement of angle A is (25 + 24) = 49, and indeed they are complementary.

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