Three lines AB- CD and EF interesect each other at O- If - AOE - 30-and- DOB - 40- see the figure- Find - COF-

Name: EXEMP - Grade 07 - MATHEMATICS - Lines & Angles - Q94
Uploaded: 2022-07-04T10:36:42+05:30
Description: From the given figure, we have ∠ AOE + ∠ EOD + ∠ DOB = 180^∘ nbsp;[ there4;Sum of all angles on a straight line is 180^∘] ⇒ 30^∘ + ∠ E ...

From the given figure, we have ∠ AOE + ∠ EOD + ∠ DOB = 180^∘ nbsp;[ there4;Sum of all angles on a straight line is 180^∘] ⇒ 30^∘ + ∠ E ...

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Standard VII

Mathematics

Linear Pair

Three lines A...

Question

Question 94

Three lines AB, CD and EF interesect each other at O. If $∠ A O E = 30^{\circ} a n d ∠ D O B = 40^{\circ}$ (see the figure). Find $∠ C O F .$

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Solution

From the given figure, we have
$∠ A O E + ∠ E O D + ∠ D O B = 180^{\circ} [∴ S u m o f a l l a n g l e s o n a s t r a i g h t l i n e i s 180^{\circ}] \Rightarrow 30^{\circ} + ∠ E O D + 40^{\circ} = 180^{\circ} \Rightarrow ∠ E O D = 180^{\circ} - 70^{\circ} \Rightarrow ∠ E O D = 110^{\circ}$
Again, $∠ E O D = ∠ C O F [v e r t i c a l l y o p p o s i t e a n g l e s] \Rightarrow ∠ C O F = 110^{\circ}$

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