All of the angles combined =360 degrees
Vertical angles are congruent, so if angle 1 = 60, so does angle 3
Logically we have to find the measure of angle 4 and angle 2 combined and divide by 2
60 + 60 = 120
360 - 120 = 240
240 / 2 = 120
angle 4 = 120
angle 2= 120
angle 3 = 60
Answer:
y = 108°
Step-by-step explanation:
Since AB and CD are parallel lines, then
3x - 12 and 2x + 16 are corresponding angles and congruent, thus
3x - 12 = 2x + 16 ( subtract 2x from both sides )
x - 12 = 16 ( add 12 to both sides )
x = 28
Thus
3x - 12 = 3(28) - 12 = 84 - 12 = 72°
y and 3x - 12 are adjacent angles and supplementary, thus
y = 180° - 72° = 108°
Answer:
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