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2 years ago

PLEASE HELP I NEED THIS NOW. 20 POINTS & ILL MARK BRAINLIEST

Mathematics

1 answer:

makkiz [27]2 years ago

5 0

9514 1404 393

Answer:

25°, 65°

Step-by-step explanation:

Essentially, you want two angles that have a sum of 90 degrees and a difference of 40 degrees.

The smaller is half the sum less half the difference: 90/2 -40/2 = 45 -20 = 25.

The larger is half the sum plus half the difference: 90/2 +40/2 = 45 +20 = 65.

Of course, once you know either value, you can add or subtract the difference (as needed) to find the other value.

The two angles are 25° and 65°.

_____

<em>Additional comment</em>

There are many ways you can arrive at this conclusion. Algebraically, we can write ...

a+b = sum

a-b = difference

Adding these two equations gives ...

2a = sum +difference

Multiplying by 1/2, we get ...

a = 1/2sum +1/2difference . . . . . . as described above

Subtracting the difference gives ...

b = a -difference = 1/2sum -1/2difference

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3 years ago

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Step-by-step explanation:

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