Q:

Can someone explain this?

Accepted Solution

A:
Answer:Step-by-step explanation:To find measures of angles m and nThe triangle to the left has three sides of equal length.This means that it will also have three angles of equal measure.The internal angles of a triangle sum to 180°So the internal angles of the left triangle are 180/3 = 60°The top right angle is made up of one of the 60° angles and angle n60 + n = 90n = 30°Again the internal angles of a triangle sum to 180°, so the right trianglem + n + 90 = 180m = 180 - 90 - 30m  = 60°or we could realize that the top and bottom horizontal lines are parallel because the vertical line on the right makes right angles to both of them.Knowing that they are parallel, we also know that angle m and the top right 60° angle of the left triangle are opposite internal angles of a line intersecting parallel lines and must be identical angles, therefore m = 60°