If angle m -3x+18 and angle 12x+12,solve for x and find m angle 4

Janilson asked Jan 21, 2022

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Janilson asked Jan 21, 2022

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27 votes

Answer:

x equals 28/5 and the measure of angle 4 is 34.8°

Explanation:

$3x + 18 + 12x + 12 = 180 \\ 15x + 40 = 180 \\ 15x = 140 \\ x = (140)/(15) = (28)/(5)$

The measure of angle 4 equals the measure of angle 6

$3 * (28)/(5) + 18 = \\ (84)/(5) + 18 = \\ (84)/(5) + (18)/(1) * (5)/(5) = \\ (84)/(5) + (90)/(5) = (174)/(5) = 34.8 \: degrees$

Gera Zenobi answered Jan 28, 2022

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