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help... ive been trying to figure this out for like 15 mins and google is no help, neither is my school help videos

help... ive been trying to figure this out for like 15 mins and google is no help-example-1

1 Answer

5 votes
we have,
angle ADB = 6x+7
angle CDB = 12x-3
angle ADC = 112°
but angle ADC = angle ADB + angle CDB
=> angle ADB + angle CDB = 112°
=> 6x + 7 + 12x - 3 = 112°
=> 18x = 112 - 4
=> x = 108/18
=> x = 6

angle ADB = 6x+7
= 6×6+7
= 36+7
= 43°
hence the measure of angle ADB is 43°
answered
User Cypherfunc
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