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3 years ago

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

Mathematics

1 answer:

aliina [53]3 years ago

6 0

Answer:

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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