Part - B
21. In the given figure, ABCD is a cyclic quadrilateral such that,
ZADB = 40° and ZDCA = 70°, then find the measure of ZDAB.
C
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Given,
∠ADB=30
0
and ∠DCA=80
0
.
Now,
∠DCA=∠DBA=80
0
(Angle subtended by same chord are equal).
In △ADB,
∠ADB+∠DBA+∠DAB=180
0
(Sum of angles in triangle is 180
0
)
⟹ ∠DAB=180
0
−80
0
−30
0
=70
0
.
Hence, the measure of ∠DAB is 70
0
.
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