Answer:
Angle a = 126°
Step-by-step explanation:
in the given figure,
b = 54°
( since they form vertical opposite angle pair, )
and
a = c
( since they are pair of vertical opposite angles )
now,
we know sum of all these angles = 360°
( because they for complete angle )
so,
=》a + b + c + 54° = 360°
=》a + 54° + a + 54° = 360°
( since, b = 54°, and a = c )
=》2a + 108° = 360°
=》2a = 360° - 108°
=》a = 252° ÷ 2
=》a = 126°
