Question

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

Answer 1

`\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°