Question

parallel lines p and q are cut by two non parallel lines m and n as shown in the figure the value of x is ? degrees and the value of y is ? degrees ​

Answer 1

Explanation:

x+102+115+(180-115)=360

x+282=360

x=78 degrees

y=115 degrees

Answer 2

x = 78

y= 115

Explanation:

On the angle where p and m meet, we have congruent angles that both equal 102 degrees. The adjacent angles will add up to 180 degrees on a line. So, to find the missing angle, do this:

180-102 = 78 degrees

x is equal to the top right angle where p meets m as they are congruent.

x = 78

You can find y by realizing that the given angle on q meets n are congruent angles. If this angle equals 115 degrees, then y must also equal 115 degrees.