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shusha [124]
3 years ago
6

An angle is 26.2° more than its complementary angle what is the measure of each angle

Mathematics
1 answer:
Mila [183]3 years ago
7 0

Answer:

58.1 and 31.9 degrees

Step-by-step explanation:

x + other angle = 90 because complementary angles add up to 90

x = the angle

x = 26.2 more than the other angle

subtract 26.2 from both sides

x - 26.2 = other angle

x + other angle = 90

plug x - 26.2 for other angle

x + (x-26.2) = 90

2x - 26.2 = 90

add 26.2 to both sides to isolate the variable and its coefficient

2x = 116.2

divide both sides by 2 to find x

x = 58.1

other angle = x - 26.2 = 31.9

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Step 1: Rewrite the equation

-14+6b+7-2B=1+5b


Step 2: Combine like terms


-14+6b+7-2b=1+5b

-7+4b=1+5b


Step 3: To isolate b, first add 7 on both sides

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+7 +7
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Step 4: Again, trying to isolate b, subtract 5b on both sides

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Step 5 (final step): Because the variable cannot be negative for a final answer, multiply each number by -1.

-1(-b=8)

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Hope this helps :)
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