SOLUTION: In triangle JKL,the measure of angle j is 30 degrees less than the measure of angle K and measure angle L=80. find measure angle K.

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Question 118613: In triangle JKL,the measure of angle j is 30 degrees less than the measure of angle K and measure angle L=80. find measure angle K.
Answer by malakumar_kos@yahoo.com(315) About Me  (Show Source):
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In triangle JKL,the measure of angle j is 30 degrees less than the measure of angle K and measure angle L=80. find measure angle K.
Let angle K be = x
then angle J will be = x-30 degrees
angle L = 80 degrees

sum of the three angles in a triangle = 180 degrees
i.e , K+L+J = 180

x+80+x-30 = 180
2x = 180-80+30
= 130
x= 130/2 = 65 degrees
hence angles of the triangle are , K = 65 deg, L = 80 deg & J = 35 deg.