Question

1) An angle formed by intersecting two lines measures 35º, Find the measure of remaining all angle.
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Answer 1

The remaining angles are $145^{o} , 145^{o} ,35^{o}$.

Step-by-step explanation:

Let $AB and CD$ be two intersecting as shown in figure. Let the point of intersection be $O$.

Given: ∠$AOC=35^{o}$

To find: ∠$BOC$, ∠$DOB$ and ∠$AOD$.

Steps:

Since $AB$ is a straight line,

∠$AOC$$+$∠$COB=180^{o}$

$35^{o}$$+$∠$COB=180^{o}$

∠$COB=145^{o}$

Now, from vertically opposite angles,

∠$AOC=$∠$DOB$

So, ∠$DOB=35^{o}$

Similarly for ∠$AOD$ = ∠$COB$

therefore, ∠$AOD=145^{o}$