Name the following angles of Fig, using three letters: a. 1 b. 2 … - Vidyadip

Question

Name the following angles of Fig, using three letters:
$a.\ \angle1$
$b.\ \angle2$
$c.\ \angle3$
$d.\ \angle1 + \angle2$
$e.\ \angle2 + \angle3$
$f.\ \angle1 + \angle2 + \angle3$
$g.\ \angle\text{CBA} - \angle1$

✓

Answer

From the figure:
$a.\ \angle1=\angle\text{CBD}$
$b.\ \angle2=\angle\text{DBE}$
$c.\ \angle3=\angle\text{EBA}$
$d.\ \angle1+\angle2=\angle\text{CBD}+\angle\text{DBE}$
$=\angle\text{CBE}$
$e.\ \angle2+\angle3=\angle\text{DBE}+\angle\text{EBA}$
$=\angle\text{DBA}$
$f.\ \angle1+\angle2+\angle+3=\angle\text{CDB}+\angle\text{DBE}+\angle\text{EBA}$
$=\angle\text{CBA}\text{ or}\angle\text{ABC}$
$g.\ \angle\text{CBA}-\angle1=\angle\text{CBA}-\angle\text{CBD}$
$=\angle\text{DBA or }\angle\text{ABD}$

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