Question

12. In the adjoining figure (Fig. 10.40); DC || AB
and AD = DB = DC; CBE = 65°
Find the values of angles x and y,

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Answer 1

Answer:

If AD = DB = DC, then the three triangular regions in this figure are all isosceles triangles. Therefore, you can fill in some of the missing angle measurements as shown to the right. Since you know that there are 180

o

in the large triangle ABC, you can write the following equation:

x+x+20+20+60+60=180

2x+160=180

x=10