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The difference of two complementary angles is 68 degrees. Find the measures of the angles.

User Cerad
by
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1 Answer

1 vote

Answer:

11 and 79 degrees.

Explanation:

We can figure it out by making a equation system:

x + y = 90 (complementary angles)

x - y = 68 (difference between the two angles)

From 1st equation, we ge x=90-y. Let 'sreplace into the 2nd equation:

(90- y) - y = 68

90 - 2y = 68

-2y = 68 - 90

y = -22/-2

y = 11

Now, x will be y+68, so x=79

User Sfarbota
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