please answer this
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Answers
Answer:
1 ka answer hai 140 degree,..
2 ka anser hai 100 degrees...
3 ka anser hai 250 degrees..
Answer:
i ) x = 140°
ii ) x = 100°
iii ) x = 140°
Step-by-step explanation:
( i ) given = ∠A = 104°
∠C = 116°
R.T.P = x
construction : EF is drawn parallel to AB and CD
Proof : ∠FEC + ∠DCE = 180 ° ( co - interior )
x1 + 116° = 180°
x1 = 180 - 116 = 64
x1 = 64°
∠AEF + ∠BAE = 180° ( co - interior )
x2 + 104 = 180°
x2 = 180 - 104 = 76
x2 = 76°
Now ,
x = x1 + x2
x = 64 + 76 = 140°
x = 140°
ii) Given = ∠A = 65°
∠C = 35°
R.T.P = x
construction : FG is parallel to AB and CD
Proof : x1 = ∠A = 65° ( alternate ∠s )
x2 = ∠C= 35° (alternate ∠s )
Now ,
x = x1 + x2
x = 65 + 35
x = 100°
iii) Given = ∠ B = 35°
∠D = 75°
R.T.P = x
CONSTRUCTION : MN is drawn parallel to AB and CD
Proof : x1 + ∠B = 180° ( co- interior )
x1 + 35 = 180°
x1 = 180 - 35
x1 = 145°
x2 + ∠D = 180 ° ( co- interior )
x2 + 75 = 180 °
x2 = 180 - 75
x2 = 105 °
Now ,
x = x1 + x2
x = 145 + 105
x = 250°