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3 years ago

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AngleDFG and angleJKL are complementary angles. M angleDFG =x+5, and m angleJKL=x-9. Find the measure of each angle

1 answer:

kicyunya [14]3 years ago

4 0

$Measures\ of\ complementary\ angles\ make\ sum\ equal\ to\ 90^{\circ}.\\\\
\angle DFG+\angle JKL=90^{\circ}\\\\
x+5+x-9=90\\\\
2x=90-5+9\\\\
2x=94\ \ \ |:2\\\\x=47^{\circ}\\\\
\angle DFG=x+5=47+5=52^{\circ}\\ \angle JKL=x-9=47-9=38^{\circ}$

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