Question

∠6 and ∠7 form a linear pair. Twice the measure of ∠6 is twelve more than four times the measure of ∠7. Find the measure of each angle.


°

Answer 1

Answer:

$x = 118 \\ y = 62$

angles are 118 and 62

Step-by-step explanation:

$let \: angle(6) = x \\ angle(7) = y \\ \\ 2x = 12 + 4y \\ \\ 2x - 4y = 12 \\ x - 2y = 6 \\ \\ x + y = 180 \\ \\ \\ solvi ng \: above \: equations \: \: \: we \: get \\ \\ 3y = 186 \\ y = 62 \\ \\ therefore \: \: x = 180 - 62 \\ x = 118 \\ \\ x = 118 \\ y = 62$