Q9. In a quadrilateral ABCD , AB II DC.
If ∠ ∶ ∠ = 3: 7 ∠: ∠ = 9: 6.
Find measure of each angle of a quadrilateral.
pls tell the answer
Answers
Answered by
0
Answer:
∠A:∠D=2:3
Let ∠A and ∠D be 2x and 3x.
⇒ ∠B:∠C=7:8
Let, ∠A and ∠D be 7y and 8y.
Since, AB∥CD and AD is a transversal.
∴ ∠A+∠D=180°.[ Interior angles on same side of transversal ]
⇒ 2x+3x=180°.
⇒ 5x=180°.
⇒ x=36°
⇒ ∠A=2×36°
=72°
⇒ ∠D=3×36°
=108°.
Since, AB∥CD and BC is a transversal.
∴ ∠B+∠C=180°.[ Interior angles on same side of transversal ]
⇒ 7y+8y=180°
⇒ 15y=180°
∴ y=12°
⇒ ∠B=7×12°
=84°
⇒ ∠C=8×12°
=96°
Attachments:
Similar questions