Find the value of a,b,c and d given that angle bcd=43 degree and angle bae=62 degree.
Answers
where it's diagram plzzz if this question have diagram so take the diagram also as a question
Given : angle bcd =43 and angle bae =62
To Find : Value of a , b , c and d
Solution:
in ΔACE
∠ACE + ∠CAE + ∠CEA = 180°
∠ACE = ∠BCD = 43°
∠CAE = ∠BAE = 62°
=> 43° + 62° + d = 180°
=> d = 75°
∠a + ∠d = 180° ( sum of opposite angles of cylic Quadrilateral )
=> ∠a = 105°
in ΔABF
∠BAF + ∠ABF + ∠AFB = 180°
=> 62° + 105° + b = 180°
=> b = 13°
d = b + c ( exterior angle of triangle = sum of opposite two interior angles)
=> 75 = 13 + c
=> c = 62°
a = 105°
b = 13°
c = 62°
d = 75°
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