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

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Thanks if you can answer it!

1 Answer
Jun 19, 2018

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

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

Explanation:

/_ABC=/_ABD+/_CBDABC=ABD+CBD

77=(3x+22)+(5x-17)77=(3x+22)+(5x17)

77=8x+577=8x+5

8x=77-5=728x=775=72

x=72/8=9x=728=9

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

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

Check:

/_ABC=/_ABD+/_CBD=ABC=ABD+CBD=

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