find the value of x and y .fast
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2x+4x+3x_180
9x_180
x_20
3x_3.20_60
2x_2.20_40
y+60+40_180
y_180-100
y_80
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Answer: x=20° and y=80°
Step-by-step explanation:
Since it is a ║gm, ∠B=∠D ⇒ 4x = y
In triangle ACD,
∠A + ∠C + ∠D = 180° (Angle Sum Property)
⇒2x + 3x + y = 180°
⇒2x + 3x + 4x = 180°
⇒9x = 180°
⇒x = 180° ÷ 9 = 20°
Now, ∠D= y = 4x = 4 × 20° = 80°
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