AB || CD. A point E lies between them. EF is drawn so that angle BAE = 35 deg (at AB) and angle DCE = 25 deg (at CD), both measured toward E. Drawing a line through E parallel to AB and CD, the reflex/total angle AEC = 35 + 25. Find angle AEC (deg).

Question

Accepted Answer

60. Draw a line through E parallel to AB and CD. By alternate interior angles, the part of angle AEC toward AB = 35° and the part toward CD = 25°. So angle AEC = 35 + 25 = 60°.

AB || CD. A point E lies between them. EF is drawn so that angle BAE = 35 deg (at AB) and angle DCE = 25 deg (at CD), both measured toward E. Drawing a line through E parallel to AB and CD, the reflex/total angle AEC = 35 + 25.
Find angle AEC (deg).

Step-by-Step Solution

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More Class 9 Parallel Lines and a Transversal practice

AB || CD. A point E lies between them. EF is drawn so that angle BAE = 35 deg (at AB) and angle DCE = 25 deg (at CD), both measured toward E. Drawing a line through E parallel to AB and CD, the reflex/total angle AEC = 35 + 25.Find angle AEC (deg).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Parallel Lines and a Transversal practice

AB || CD. A point E lies between them. EF is drawn so that angle BAE = 35 deg (at AB) and angle DCE = 25 deg (at CD), both measured toward E. Drawing a line through E parallel to AB and CD, the reflex/total angle AEC = 35 + 25.
Find angle AEC (deg).