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If ∠PLA and ∠ELA are complementary, ∠PLA = 5x – 2, and ∠ELA = x + 8, what is the measure of ∠ELA?

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Answer:

∠ELA=24°

Explanation:

1) A pair of complementary angles is equal to 90°, knowing this we can create the equation 5x-2+x+8=90

2) We need to simplify to the equation to be able to solve it, 6x-6=90

3) We need to isolate x to solve for it so we need to add 6 to both sides and divide the remaining value by 6. 6x=96, x=16

4) Since angle ELA is x+8, we need to add the value of x to 8. 16+8=24

User Jonathan Rioux
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