Question

In the following diagram, HI is parallel to JK. What is the measure of Zx? Angles are not necessarily drawn to scale. J H Η 61° K 59° I А Zx =

Answer 1

First you have to calculate the missing angle from the triangle AHI.

To do so you have to remember that the sum of all internal angles of a triengle equals 180º

m∠HAI+m∠AHI+m∠AIH=180º

59º+61º+m∠AIH=180º

m∠AIH=180º-59º-61º

m∠AIH=60º

Next, angles m∠AIH and m∠AKJ are corresponding angles, this means that both angles are congruent (equal), so

m∠AIH=m∠AKJ → replace

60º=xº