Question

In figure 6.73 ab parallel cd angle abe is 20 degree and angle ecd is 70 degree find angle bec.​

Answer 1

Answer:

is this figure correct.

Answer 2

Answer = <BEC = 130°

Step-by-step explanation:

Given = AB || CD , <ABE =20° , < ECD = 70°

To Find = <BEC

Construction = Draw a line EF || AB and CD passing through <E

Prove = < ABE = < BEF ( Alternate interior angles)

20° = < BEF

< FEC + < ECD = 180° ( Co-interior angles)

<FEC + 70° = 180°

<FEC = 180° - 70°

< FEC = 110°

Hence , < BEF + < FEC = <BEC

20° + 110° = <BEC

130° = < BEC