Question

What is the measure of ∠BCD? Enter your answer in the box. ° quadrilateral A B C D with side A B parallel to side D C and side A D paralell to side B C. angle B is 103 degrees.

Answer 1

Answer:

77°

Step-by-step explanation:

Angles B and C are adjacent angles of a parallelogram, so are supplementary.

... ∠C = 180° -∠B = 180° -103° = 77°

Answer 2

Answer:

The asnwer is ∠C=77°, ∠BCD= 283°

Step-by-step explanation:

According to the info or the problem angles B and C are adjacent angles of a paralellogram, so those angles are supplementary each other.

 We can calculate the angle C applying the supplementary angles theory:

   ⇒ ∠C = 180° - ∠B = 180° - 103° = 77°.  

  So angle ∠C = 77°.

 In the parallelogram angle B its opposite to D, so ∠D = 103°.

 Doing the sumatory of the angles ⇒ ∠BCD= 103°+ 77° + 103°= 283°.

 We can corroborate that result its okay because the sumatory of the inner angles of a parallelogram always is 360°.

 In conclusion if we add the angle ∠A= 77° (becasuse its opposite to C) to the summation ⇒ 283°+ 77°= 360°.