Question

Question 14 :
4 points
In the given figure, AB is a diameter of the circle
of radius 7 cm. If CD = 7 cm, then ZAEB equals
D
А
B
(1) 30°
(2) 45°
(3) 60°
(4) 75°​

Answer 1

Step-by-step explanation:

Since AB is diameter

∠AEB=90

∘

In △AEB

∠ABE=180−∠EAB−∠AEB

∠ABE=180–65−90=25

∘

Given ED∥AB

⟹∠DEB=∠EBA=25

∘

Since EDCB is a cyclic quadrilateral opposite angles are supplementary

∠DEB=∠DCB=180

∘

∠DCB=180–25=155

∘

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