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What is the measure of JML

What is the measure of JML-example-1
User Kastaneda
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1 Answer

2 votes

Answer:

94

Explanation:

∠JKL and ∠JML are supplementary( they add to 180°).

Set their values equal to 180 to find the value of x.

15x - 19 + 13x + 3 = 180

Combine like terms

28x - 16 = 180

Add 16 to both sides to isolate the x

28x = 196

Divide both sides by 28

x = 7

Substitute the value of x into the expression for ∠JML

13(7) + 3 = ∠JML

91 + 3 = ∠JML

94° = ∠JML

To check our answer we can substitute the value of x into the expression for ∠JKL and if they add up to 180 we are correct

15(7) - 19 =∠JKL

105 -19 =∠JKL

86 =∠JKL

94° + 86° = 180°

Therefore we are correct

User Dave Anderson
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7.8k points