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I'm not sure how to do this and im super confused

I'm not sure how to do this and im super confused-example-1

1 Answer

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Answer: The m<A = 55

Explanation:

1. We know that m<A is likely congruent to m<B (know that m< means measure of angle) {Also noting congruent means same}

2. With that, we can tell that the given info is telling us that 124 is the total degree for m<D.

3. So, this tells us that 2x + x + 41.5 = 124 is the formula we will use.
3a. 3x + 41.5 = 124 (Simplify)
3b. 3x = 82.5 (Combine like Terms)
3c. x = 27.5 (Divide)

4. Now we know what x is, so finding m<A is easy, 2(27.5) equals to 55, meaning m<A is 55. For m<B, 27.5 + 41.5 equals to 69. To make sure 55 + 69 equals to 124

5. So:
m<A = 55
m<B = 69
m<D = 124

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