Question

8. Two streets intersect at a traffic light, forming vertical angles. If the

measure of one of the angles formed by the intersecting streets is 78°,
what are the measures of the other three angles? Draw and label a
picture of the scenario. Show your work for how you found the missing
angles.

Answer 1

Answer: 1 is 102°, 2 is 78° 3 is 102°.

Step-by-step explanation: The street forms vertical angles,. One of the angles are 78, 2 is a vertical angle to 78 so it is also 78.

2 and 1 are supplementary angles, so since 2 is 78°, we subtract 78 from 180.

if we subtract 78 from 180, we get 102, so 1 is 102°.

1 and 3 are vertical angles, so 3 is also 102°.