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Answer:
See below for answers
Step-by-step explanation:
Part 1:
Angle 1 is a supplementary angle, so it must be 180-50=130 degrees because supplementary angles add up to 180 degrees.
Angle 2 is a vertical angle, therefore it must be 50 degrees as well because vertical angles are congruent.
Angle 3 is vertical to angle 1, so it is 130 degrees since vertical angles are congruent.
Part 2:
x and 2x+21 are supplementary angles, so we can make an equation:
x+2x+21=180
3x+21=180
3x=159
x=53
So x=53
Answer:
1 = 130
2 = 50
3 = 130
4 = x = 53
Step-by-step explanation:
angle 2 is congruent to 50 degrees
1 and 3 are congruent
1 and 2 are supplementary
3x+21 = 180
3x = 159
x = 53