Question

the crosswalk connect to two sidewalks along the street below if the sidewalks are parallel what is the value of x

Answer 1

x= 114º

1) We can sketch out this way:

The angle inside the triangle can be obtained by

y + 90º + 24º = 180º The sum of the angles within the Triangle

y +114º = 180º

y= 180º -114º

y=66º

2) So now on the picture we can mark the alternate exterior angles since they are congruent: 66º Due to those sidewalks are parallel lines intercepted by a transversal line (crosswalk).

Since angle x and 66º are supplementary, we can find that angle x by writing out the following:

x + 66º = 180º

x = 180º -66º

x =114º

3) Hence, the measure of angle x is 114º