1.

In the adjoining figure ABCD is which the measure of each of the remaining angles of the parallelogramla the adjoining figure, ABCD is a parallelogram in which A50 Find​

Answer»

-step explanation:(i)∠COD=65 o [ Given ]⇒ ∠COD=∠AOB [ Vertically opposite ANGLES ]∴ ∠AOB=65 o .In △AOB,⇒ ∠BAC+∠AOB+∠ABO=180 o [ Sum of angles of a triangle is 180 o . ]⇒ 35 o +65 o +∠ABO=180 o .⇒ 100 o +∠ABO=180 o ⇒ ∠ABO=80 o ∴ ∠ABD=80 o (ii)AB∥CD abd BD is transversal.∴ ∠ABD=∠BDC [ Alternate angles ]∴ ∠BDC=80 o (iii)⇒ ∠AOB+∠BOC=180 o [ LINEAR PAIR ]⇒ 65 o +∠BOC=180 o ∴ ∠BOC=115 o ⇒ ∠DAO=∠OCB [ Alternate angles ]∴ ∠OCB=40 o In △OCB⇒ ∠BOC+∠OCB+∠CBO=180 o .⇒ 115 o +40 o +∠CBO=180 o ⇒ 155 o +∠CBD=180 o ⇒ ∠CBD=25 o .


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