Question

abcd is square and traingle DCE is an equilateral traingle.if ef is drawn perpendicular to bc ,find the measure of angle BEC?

Answer 1

Answer:

Angle BEC is 60 Degrees

Step-by-step explanation:

In square ABCD if we draw an equilateral triangle, where point E lies on line AB and point F on line CD and EF is perpendicular to AB.

In equilateral triangle every angle is 60 Degrees, so we can say in triangle DCE, angle EDC = angle DEC = angle ECD = 60.

For triangle BEC, angle ECB would be difference of angle BCD and angle ECD, which is 90 - 60 = 30.

Now in triangle BEC, angle B is 90 degrees (because square) and angle ECB is 30 degrees, so angle BEC would be 60 degrees(180 - 30 - 90).