(HELP ME PLS, 10TH GRADE GEOMETRY) Two parallel lines are crossed by a transversal. If m1 = 61.8°, then m6 is ... ? A.61.8 B.81.8 C.98.2 D.118.2
Mathematics · High School · Tue Nov 03 2020
Answered on
A.61.8°.
When two parallel lines are crossed by a transversal, several angles are formed, and there are relationships between these angles. In your case, if m1 = 61.8° and we want to find m6, it's important to know the positions of angles m1 and m6 with respect to the parallel lines and the transversal.
Angles m1 and m6 are corresponding angles. Corresponding angles are the ones that are in the same relative position at each intersection where the transversal crosses the parallel lines. By the Corresponding Angles Postulate, when a transversal crosses two parallel lines, each pair of corresponding angles are equal.
Therefore, if m1 = 61.8°, then m6 also equals 61.8° because they are corresponding angles.