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In the diagram below, KJ is congruent to LJ. If m of angle J = 98° and m of angle K = 11x+8, determine the value of x.

In the diagram below, KJ is congruent to LJ. If m of angle J = 98° and m of angle-example-1
User Chapelle
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1 Answer

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20 votes
X=3
1. Use the given information KJ is congruent to LJ:
Given line segment KJ and line segment LJ are congruent you know their opposite side angles are also congruent
2. Find the angle measures:
Given that J= 98 you know angle K+L equals to 180-89, this is because they are congruent therefore they must equal what is left. After you divide by 2 to split the remaining amount evenly which states angle K = 41 and angle L = 41
3. Set up the equation:
Knowing angle K is 41 and given that it’s also 11x+8 you set up the following algebraic equation: 11x+8=41
4. Solve for x:
11x+8=41 | subtract 8 from both sides
11x=33 | divide by 11
X=3
User Bart Silverstrim
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