ABCD is a cyclic quadrilateral in which BC ll AD . angle A= 110 and angle D= 130 . What are the measures of other two angles.
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given,
ABCD is a concyclic quadrilateral and also that angle A=110 and angle d=130
so, we know that opposite angles in a concyclic quadrilateral forms supplementary angles
so Angle A has angle C as its opposite
so, Angle C=A+C=180
110+C=180
C=180-110
C=70
now, angle B is opposite to angle D
so D+B=180
130+B=180
B=180-130
B=50
SO C=70 AND B=50
ABCD is a concyclic quadrilateral and also that angle A=110 and angle d=130
so, we know that opposite angles in a concyclic quadrilateral forms supplementary angles
so Angle A has angle C as its opposite
so, Angle C=A+C=180
110+C=180
C=180-110
C=70
now, angle B is opposite to angle D
so D+B=180
130+B=180
B=180-130
B=50
SO C=70 AND B=50
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Answer:
A = 110° B=130° C= 70° D= 50°
Step-by-step explanation:
ABCD is a concylic quadrilateral
A || C B || D
C = 180°-110° B = 180°-130°
C = 70° B = 50°
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