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Angles A and B are complementary. If mL A = 2 + 43 and mL B = 47°. Solve for x to findthe measure of L A.

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4 votes

Answer:

The question is not written correctly (and I couldn't find the actual question online), I assume that the actual question is:

"Angles A and B are complementary. If mL A = 2*x + 43 and mL B = 47°. Solve for x to find the measure of L A."

So I can answer this in a step by step way:

First, two angles are complementary if the sum of their measures is equal to 90°

Then we must have:

mL A + mL B = 90°

If we replace these by the measures, we have:

2*x + 43° + 47° = 90°

Now we can solve this for x.

2*x + 90° = 90°

2*x = 90° - 90° = 0°

Then we must have x = 0°.

User Larry Gerndt
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