MATH SOLVE

3 months ago

Q:
# A pair of parallel lines is cut by a transversal:A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees.What is the measure of angle x?

Accepted Solution

A:

Answer:Step-by-step explanation:Use the diagram in the attachment for reference. You can substitute the values given in question in place of the one in the diagram.From the diagram, it can be seen that the sum of angle x and 20 is equal to angle 75 degrees i.e x+30 = 75 (alternate angles)Next is to find the value of x from the equation x+30 = 75Subtract 30 from both sides of the equation; x+30-30 = 75-30x = 75-30x = 45Hence the measure of angle x is 45°