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Remba
01.11.2019 •
Mathematics
You are making a big picture frame . two pieces of wood are cut to form complementary angles so they fit together. one angle needs to be (7x+23) and the other angle needs to be (3x+27) . what is the measure of the larger angle
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Ответ:
The measure of the larger angle is (7 x + 23) = 51°
Step-by-step explanation:
Two angles A and B are said to be complimentary angles if and only if their measure adds up to 90°.
⇒ ∠A + ∠B = 90°.
So, here given (7 x+23)and (3 x+27) are complimentary.
⇒ (7 x+23) + (3 x+27) = 90°
or, 10 x + 50 = 90°
⇒ 10 x = 90° - 50 = 40°
or, x = 40/ 10 = 4°
So, the first angle = (7 x+23) = 7 (4) + 23 = 51°
and the second angle is (3 x+27) = 3(4) + 27 = 39°
Hence, the measure of the larger angle is (7 x + 23) = 51°
Ответ: