Question

Question 47

Name the following angles of the given figure using three letters.

a) $\angle 1$
b) $\angle 2$
c) $\angle 3$
d) $\angle 1$ + $\angle 2$
e) $\angle 2$ + $\angle 3$
f) $\angle 1$ + $\angle 2$+$\angle 3$
g) $\angle CBA$ - $\angle 1$

Answer 1

From the figure,
a) $\angle 1$ = $\angle CBD$
b) $\angle 2$ = $\angle DBE$
c) $\angle 3$ = $\angle EBA$
d) $\angle 1$ + $\angle 2$ = $\angle CBD$ + $\angle DBE$
= $\angle CBE$
e) $\angle 2$ + $\angle 3$ = $\angle DBE$ + $\angle EBA$
= $\angle DBA$
f) $\angle 1$ + $\angle 2$ + $\angle 3$ = $\angle CBD$ + $\angle DBE$ + $\angle EBA$
= $\angle CBA$ or $\angle ABC$
g) $\angle CBA$ - $\angle 1$ = $\angle CBA$ - $\angle CBD$
= $\angle DBA$ or $\angle ABD$