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Andreas93 [3]
2 years ago
5

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

Mathematics
1 answer:
Advocard [28]2 years ago
4 0

\large{\green{\underline{\underline{\bf{\orange{ANSWER:-}}}}}}

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°

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