Question

J and K are vertical angles. J and L are supplementary angles. mK=71° What is mL in degrees?​

Answer 1

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The question and data provided in the information is that (<J ≈ <K) are congruent to each other. Then (<J + <L = 180°) here supplementary means that there sum tends to 180°. And we have also provided the value of <K = 71°.

Now as per question we can write that,

$\longrightarrow\bf{ \angle j + \angle l = 180}$

$\longrightarrow\bf{ \angle k + \angle l = 180 \: .... \: ( \angle j = \angle k)}$

Now substituting values,

$\longrightarrow\bf{71 + \angle l = 180}$

$\longrightarrow\bf{ \angle l = 180 - 71}$

$\longrightarrow\bf{ \angle l = 109}$

• The value of <L = 109°