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1. In the figure below ABC∡=153°, ABD∢=(5x+5)°, and DBC∢=(3x+12)°. Find the measure of ABD∢ and DBC∢. Show all work 20 points

1 In The Figure Below ABC153 ABD5x5 And DBC3x12 Find The Measure Of ABD And DBC Show All Work 20 Points class=

Answer :

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Answer:

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Step-by-step explanation:

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Answer:

ABD = 90 and DBC = 63

Step-by-step explanation:

ABD + DBC = ABC    

(5x +5) + (3x + 12) = 153  

combine like terms to simplify    

8x + 17 = 153

subtract 17 from 153  

8x = 136

divide 136 by 8

x =17  

Now we plug x = 17 in -> ABD: 5 x 17 + 5 = 90   DBC: 3 x 17 + 12 = 63

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