72.0k views
3 votes
If angle 2 has a measure of 125 then what is the measure of angle 4​

If angle 2 has a measure of 125 then what is the measure of angle 4​-example-1

1 Answer

6 votes

Answer: 55

Step-by-step explanation:

Angles 1 and 4 are vertical angles and angles 2 and 3 are vertical angles. Vertical angles are congruent. Therefore, angle 1 is congruent to angle 4 and angle 2 is congruent to angle 3. Angles 1 and 2 form a linear pair, as do angles 3 and 4. Linear pairs must always add up to 180 because they are supplementary and form a line. Angle 2 is 125, so angle 3 is 125. Angle 3 and Angle 4 must equal 180, so you do 125 + x = 180. So, x = 55.

Hope this helps!!! :)

User Mohammed Alukkal
by
4.8k points