Given: /|| m Assume the transversal is perpendicular to m. Find m1. A. 30B. 45C. 60
Accepted Solution
A:
ANSWER [tex] m \: < \: 1 = 60 [/tex]
EXPLANATION
Since the transversal is perpendicular to m, it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.
We use vertically opposite angles property to bring m<1 in to the right triangle.
We now use the sum of interior angles property to obtain,
[tex]m \: < \: 1 + 30 + 90 = 180[/tex]
This implies that,
[tex]m \: < \: 1 + 120 = 180[/tex]
We group like terms to obtain,
[tex]m \: < \: 1 = 180 - 120[/tex]
This means that,
[tex]m \: < \: 1 = 60[/tex]
We could have also used corresponding angles property, then