The cross country bike trail follows a straight line where it crossess 350th and 360th streets. The twonstreets are parallell to each other. What is the measure of the larger angle formed at the intersection of the bike trail and 360th street. explain only angle give is 48 degrees
check your theorems on transversals of parallel lines.
alternate/corresponding interior/exterior angles are equal
adjacent angles are supplementary
I suspect your answer is 132 degrees, but I have no diagram to consult.
no it is in fact 136
Given that the angle formed at the intersection of the bike trail and 360th street is 48 degrees, and the two streets, 350th and 360th, are parallel, we can determine the measure of the larger angle.
We know that when a line intersects two parallel lines, alternate interior angles are congruent. In this case, the angle of 48 degrees is an alternate interior angle to the larger angle we need to find.
So, the larger angle formed at the intersection of the bike trail and 360th street is also 48 degrees. The measure of the larger angle is 48 degrees.
To determine the measure of the larger angle formed at the intersection between the bike trail and 360th street, we can use the fact that the town streets are parallel to each other.
Since the bike trail and 360th street intersect, they form a pair of corresponding angles. Corresponding angles are congruent (equal) when two parallel lines are intersected by a transversal (in this case, the bike trail).
We know that one of the corresponding angles measures 48 degrees. Let's call this angle "x".
Since corresponding angles are congruent, the larger angle formed at the intersection between the bike trail and 360th street is also "x" degrees. Therefore, the measure of the larger angle is 48 degrees.