Find the unknown marked angles in each of the following figures.....pl

1.	Find the unknown marked angles in each of the following figures.....plz give answer with explanation....
Answer» Answer: ∠p = 71° ∠q = 47° ∠r = 71° Step-by-step explanation: ∠p + ∠EBD + ∠DBC = 180° (angles on a straight LINE) ∠p + 62+ 47° = 180° ∴ ∠p = 71° Also AC ║ED So, ∠q = ∠CBD ( Alternate angles) ∴ ∠q = 47° And ∠r + ∠q + ∠EBD = 180° ( angle sum PROPERTY of a triangle) or ∠r + 47 + 62= 180 ∴ ∠r = 71° Hope this is useful. Please rate the answer!

Find the unknown marked angles in each of the following figures.....plz give answer with explanation....

Answer»

Answer:

∠p = 71°

∠q = 47°

∠r = 71°

Step-by-step explanation:

∠p + ∠EBD + ∠DBC = 180° (angles on a straight LINE)

∠p + 62+ 47° = 180°

∴ ∠p = 71°

Also AC ║ED

So, ∠q = ∠CBD ( Alternate angles)

∴ ∠q = 47°

And ∠r + ∠q + ∠EBD = 180° ( angle sum PROPERTY of a triangle)

or ∠r + 47 + 62= 180

∴ ∠r = 71°

Hope this is useful. Please rate the answer!