260,035 views
5 votes
5 votes
In the figure, c // d. What are the measures of <1 and <2? Enter your answers in the boxes. Just write the numbers. (not the degree symbols)



In the figure, c // d. What are the measures of <1 and <2? Enter your answers-example-1
User Jason Turan
by
2.8k points

1 Answer

23 votes
23 votes

Answer: <1 = 105° and <2 = 75°

Explanation:

The information we have is the 75 degree angle already provided. Using our knowledge on transverses we know a 180 degree angle is a straight line (we happen to have two of these (c and d)). Using the corresponding angle theorem we know angle 2 is equivalent to 75 degrees. Supplementary angles refer to angles that add up to 180 degrees. Angle 1 and 2 are supplementary so from there we solve.

180 - 75 = 105

<1 = 105 degrees

User Yamm
by
3.0k points