Question

Chord $ED||diameterAC$. Determine $\angle CED$

• A. ${50}^{\circ }$
• B. ${45}^{\circ }$
• C. ${55}^{\circ }$
• D. ${40}^{\circ }$

Answer 1

The correct option is D ${40}^{\circ }$

Angle EAC is 50 deg [angles in the same segment of a circle are equal]

In triangle AEC, angle AEC is 90 deg [ angle in a semi circle is 90 deg]

Hence, in triangle EAC, angle ECA is 40 deg.

Given AC is parallel to ED. Therefore, angle ECA equals angle CED [ alternate angles]

So, angle CED is 40 deg.