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two angles are complementary.One angle is 12° larger than the other.Find the measure of the larger angle​

Sagot :

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Answer:

Let x be the measure of the smaller angle.

The larger angle is then x + 12 degrees.

Since the angles are complementary, their sum is 90 degrees.

x + (x + 12) = 90

Combine like terms:

2x + 12 = 90

Subtract 12 from both sides:

2x = 78

Divide both sides by 2 to find x:

x = 39

The smaller angle is 39 degrees.

The larger angle is x + 12 = 39 + 12 = 51 degrees.

So the answer is 51