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03-05-2019
Mathematics

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Find the unknown angle measure by solving for the given variable

Answer choices are: 125, 35, 40, and 140.

Find the unknown angle measure by solving for the given variable Answer choices are 125 35 40 and 140 class=

Respuesta :

itmye84 itmye84

03-05-2019

A straight line is 180°. So you can do:

(15x - 4) + (5x - 8) = 180 Simplify

20x - 12 = 180

20x = 192 Find the value of x

x = 9.6

m∠ABD = 15x - 4 Plug in x = 9.6

m∠ABD = 15(9.6) - 4 = 144 - 4 = 140°

m∠DBC = 5x - 8 Plug in 9.6

m∠DBC = 5(9.6) - 8 = 48 - 8 = 40°

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