Question

In triangle JKL, if m

Answer 1

`\angle L = 52\\\\\angle J = 45\\\\\angle K = 83`

Explanation:

`\angle J = \angle L-7\\\\\angle K=2\angle L-21\\\\\angle L = \angle L`

we know that

`\angle K +\angle J + \angle L =180` by the sum of interior angles of a triangle

so we have

`(\angle L -7)+(2\angle L -21)+(\angle L)=180`

we can simplify

`(\angle L + 2\angle L + \angle L)+(-7-21)=180\\\\4\angle L -28=180\\\\4\angle L=180+28\\\\4\angle L = 208\\\\\angle L = 52`

and now we find the other angles

`\angle J = \angle L -7\\\\=52-7\\\\=45`

`\angle K = 2\angle L -21\\\\=2(52)-21\\\\=104-21\\\\=83`