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

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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)

hope this helps~ :)

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2. these equations are hard looking

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3. If \large \angle3 and \large \angle4 form a linear pair, and m\large \angle4=23°, then m\large \angle3=

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4. If \large \angle1 and \large \angle2 are vertical angles, \large \angle2 and \large \angle3 are complementary angles, and m\large \angle3=47, find m\large \angle1=

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5. Ray AB bisects \large \angleCAD. m\large \angleCAB= x+7, m\large \angleBAD= 6x-8.

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