Question

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

Answer 1

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°

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