Question

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Answer 1

1 = 130

2 = 50

3 = 130

4 = x = 53

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

Answer 2

See below for answers

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