Find m∠ABD and m∠CBD given m∠ABC = 77∘. Help?

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1 Answer
Somebody N.
Jun 19, 2018

#color(blue)(/_ABD==49^@#

#color(blue)(/_CBD=28^@#

Explanation:

#/_ABC=/_ABD+/_CBD#

#77=(3x+22)+(5x-17)#

#77=8x+5#

#8x=77-5=72#

#x=72/8=9#

#/_ABD=(3(9)+22)=49^@#

#/_CBD=(5(9)-17)=28^@#

Check:

#/_ABC=/_ABD+/_CBD=#

#77^@=49^@+28^@ \ \ \sqrt#

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