Q- In fig. l1 || l2 the value of X is:
(a)80° (b)100° (c)110° (d)70°
solution- Angle1+Angle45°+Angle 35°=180°
Angle1=180°-80°
Angle1=100°
Angle1+Angle2=180°
100°+Angle2=180°
Angle2=180°-100°
Angle2=80°
X=Angle2 (Corresponding angle)
X=80°
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Step-by-step explanation:
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Solution :-
In given ∆, we have,
→ y + 45° + 35° = 180° { By angle sum property. }
→ y + 80° = 180°
→ y = 180°- 80°
→ y = 100°
So,
→ y (between parallel lines) = 100° { Vertically opposite angles. }
then,
→ x + y = 180° { since l1 || l2 , corresponding angles }
→ x + 100° = 180°
→ x = 180° - 100°
→ x = 80° (a) (Ans.)
Learn more :-
In the figure along side, BP and CP are the angular bisectors of the exterior angles BCD and CBE of triangle ABC. Prove ∠BOC = 90° - (1/2)∠A .
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