Math, asked by shuti9867, 10 months ago

ABCD is a trapezium, in which AB || DC .if angle A =angleB = 30 degree. what are the measures of the other 2 angles

Answers

Answered by Anonymous
63

Qᴜᴇsᴛɪᴏɴ :-

ABCD is a trapezium in which AB||DC. If ∠A = ∠B = 30°, what are the measures of the other 2 angles?

Gɪᴠᴇɴ :-

  • AB || DC
  • ∠A = ∠B = 30°

Tᴏ Fɪɴᴅ :-

  • Measures of the other 2 angles

Sᴏʟᴜᴛɪᴏɴ :-

Refer the attachment for the diagram

ABCD is a trapezium & AB||DC also ∠A = ∠B=30° as shown in the attachment

AB||DC (consecutive interior angles add upto 180°)

e.g.,

➳ ∠A + ∠D = 180°

➳ ∠D = 180° - ∠A

➳ ∠D = 180° -30° = 150°

And

➳ ∠B + ∠C = 180°

➳ ∠C = 180° - ∠B

➳ ∠C = 180° - 30° = 150°

➳ ∠D = ∠C = 150°

The measures of the other 2 angles is 150°

Attachments:
Answered by Anonymous
1

Answer:

150° is ur answer..........

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