18Q1 Angle Chasing

Geometry Level 2

C is the center of the semicircle, and chord DE is parallel to the Diameter AB.

∠DCE =?

115° 150° 120° 100°

Ajay Sambhriya by Ajay Sambhriya , 27, India

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2 solutions

Ajay Sambhriya
Apr 18, 2018

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Edwin Gray
Jul 17, 2018

Let the mid-point of DE be denoted F. Drop a perpendicular from F to C. Then FC = r/2, where r = CE. Then < FEC = 30, and < FCE = 60, whence < DCE = 120. Ed Gray

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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