Question

Q7. In the given figure, find <A + <B + <C + <D + <E + <F.
[Hint : <A+ <C+ <E = 180°(why?)
<B+ <D + <F = 180°(why?)]​

Answer 1

In school, we are taught that triangle interior angle adds up to 180°.

We can show this, by using this we learned:

• Properties of parallel Lines

Let one parallel line pass through the opposing vertice.

On the parallel line we have the different interior angles.

They add up to an angle on a line.

Now we showed that triangle angle sum is equal to a straight angle, 180°.

For more:

Now the proof is complete, we can find the interior angle sum of any polygons.

Since polygons having n-sides will be divided by (n-2) triangles, we recall that each triangles have interior angle sum of 180°:

• Interior angle sum, $\sf{180\times(n-2)^{\circ}}$

Further, a the regular polygon has exactly n angles, so we recall the interior angle sum.

• An angle, $\sf{\dfrac{180\times(n-2)}{n} ^{\circ}}$

Answer 2

Answer:

I don't answer

Step-by-step explanation:

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