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°.
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<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
