2. Given that the indicated lines in figure 10.30(a) are parallel, determine the unknown angles without actually measuring them. Explain your reasoning briefly.

2 Given That The Indicated Lines In Figure 1030a Are Parallel Determine The Unknown Angles Without Actually Measuring Them Explain Your Reasoning Briefly class=

Answer :

The opposie angles are equal

c is opposite to a, so

[tex]c=a=34^o[/tex]

The angle p is opposite to that of n, so

[tex]p=118^o[/tex]

The total angle of rotation in a line is 180°. so,

[tex]o=180-118=62[/tex]

This o is the oppsite to m, and hence m=o.

similarly,

[tex]d=180-34=146[/tex]

And hence, b=d=146