Maths
Find x In the following Figures given Below....
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Write Answer with a proper Explanation..
Answers
Answer:
i)
x + 3x = 180° ( interior angle)
therefore 4x =180
x = 180 / 4
x = 45°
ii)
3x = 90° (corresponding angles)
iii)
2x+15 = angle E ( vertically opposite angle)
angle E + (x + 15) = 180° ( interior angle)
2x+15+x+15 = 180
3x + 30 = 180
x = 210/3
x = 70
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Answer:
(i) x=45°, (ii) x=30°, x=50°
Step-by-step explanation:
In (i) AB||CD, so x+ BAL=180° (Linear pair)
BAL = 3x (Corresponding angles)
Therefore , x+3x=180°
4x=180°
x=45°
In (ii) PQ||RS , therefore 3x=90° (Corresponding angles)
x=30°
In (iii) PQ||RS, RFE+x+15°=180°
RFE= 2x+15° (Corresponding angles)
so, x+15°+2x+15°=180°
3x=150°
x=50°