SOLUTION: What is the formula to find the following, angle J and angle K are complementary. Angle J is 4 more than 3 times the measure of angle K

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Question 1121599: What is the formula to find the following,
angle J and angle K are complementary. Angle J is 4 more than 3 times the measure of angle K
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
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by definition, two angles are complementary when they add up to 90 degrees
so, if angle J and angle K+are complementary, we have:
J%2BK=90....eq.1
if angle J is+4 more than 3 times the measure of angle K, we have
J=3K%2B4....eq.2
substitute J from eq.2 in eq.1
3K%2B4%2BK=90....eq.1...solve for K
4K=90-4
4K=86
K=86%2F4
K=21.5

go to eq.2 and find J
J=3%2A21.5%2B4....eq.2
J=64.5%2B4
J=68.5



Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
On complementary, supplementary angles see the lessons
    - Angles basics
    - Vertical angles
    - HOW TO solve problems on supplementary, complementary or vertical angles - Examples
in this site.