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
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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