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Use the diagram below to answer part A-C

Use the diagram below to answer part A-C-example-1

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A) seems like angle HJK is a straight angle or opens up to 180 degrees. That means angle (
HJL and LJK will equal 180.

So here’s the setup for the equation.
(26x-7) +(10x+7) =180
36x +(-7 +7) =180 Combine like terms
36x = 180 -7 +7 cancels each other out
—————
36
ANSWER: x=5


B) Substitute 5 into x
26(5)-7
130-7

ANSWER:Angle HJL equals 123 degrees


C) Substitute 5 into x
10(5) +7
50+7

ANSWER:Angle LJK equals 57 degrees.


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