Question

Determine the value of x for which r parallels s. then find measure of angles one and two

measure of angle one= 30-4x
measure of angle two= 50-44x ​

the value for which r parallels s is .....

measure of angle one.....
measure of angle two ......

Answer 1

`m\angle 1 = 28\degree </p><p>m\angle 2 = 28\degree`

Explanation:

`\because line\: r || line\: s\\</p><p>m\angle 1 = m\angle 2\\(corresponding \: \angle s) \\</p><p>\therefore 30 - 4x = 50 - 44x\\</p><p>\therefore 44x - 4x = 50 - 30\\</p><p>\therefore 40x = 20\\</p><p>\therefore x = (40)/(20)\\</p><p>\therefore x = 0.5\\</p><p>m\angle 1 = 30 - 4x = 30 - 4(0.5) = 30 - 2 \\</p><p>m\angle 1 = 28\degree \\</p><p>\implies m\angle 2 = 28\degree`