<3 and <4 form a linear pair. The measure of <3 is four more than three times the measure of <4. Find the measure of each angle.

Answer 1

first we represent the unknowns using variables:
let x = measure of angle 4
let 3x+4 = measure of angle 3 (from the second statement)
then we set-up the equation. since the angles form a linear pair, their sum is equal to 180 degrees. therefore,
x + 3x + 4 = 180
4x + 4 = 180
4x = 176
x = 44 degrees (measure of angle 4)
3x + 4 = 136 degrees (measure of angle 3)

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