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4. Angles, Lines and Triangles
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Q3 of 153 Page 144

In , if 3= 4=6, calculate, and .

=80°, =60°, =40°


Let 3= 4=6 = a


Therefore,


∠A = a/3, ∠B = a/4, ∠C = a/6 ____________________ (i)


∠A + ∠B + ∠C = 180° [Sum of angles]


⇒ a/3 + a/4 + a/6 = 180°


⇒ 9a/12 = 180°


⇒ a = 240°


⇒ ∠A = a/3 = 240° /3 = 80°


⇒ ∠B = a/4 = 240° /4 = 60°


⇒ ∠C = a/6 = 240° /6 = 40°


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Questions · 153
4. Angles, Lines and Triangles
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