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17 votes
Pretty easy problem just stuck please help

Pretty easy problem just stuck please help-example-1

2 Answers

4 votes

Answer:

1 = 78 degrees

3 = 102 degrees

4 = 78 degrees

Explanation:

All of the angles are supplementary which means two of the angles add up to 180 degress

Angle 2 = 102

To find angle 1, just subtract 102 from 180

180 - 102 = 78

Angle 4: 180 - 78 = 102

Angle 3 = 180 - 120 = 78

3 votes

Answer:

<4 is 102 and <1 and <3 are both 78

Explanation:

<4: 102 because it is vertical to <2, and all vertical angles are congruent

<1: 78 angle 1 is adjacent to angle 2, meaning that they share a side. Because of this they are a linear pair, so they add up to 180. 180-102

<3:Using the vertical angles theorem, we can say that <1=<3 as they are vertical angles.

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