PLEASE HELP! If m∠ADC = (16x − 55)◦, solve for x.

x = 12

Step-by-step explanation:

Given:  the overall angle m∠ADC = (16x − 55) and m∠ADB = 5x - 13.

To solve for x , you can make another equation where

90° (right angle) + m∠ADB = m∠ADC; substitute with terms given

90 + (5x - 13) = (16x - 55); remove parenthesis and combine numbers

5x + 77 = 16x - 55; subtract 5x from both sides

77 = 11x - 55; add 55 to both sides

11x =  132; divide by 11

x = 12

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