Three lines intersect at a point generating 6 angles and one of these angles is 90 degree then the number of other distinct angles will be how many?

There will be 2 distinct angles.

Step-by-step explanation:

When three lines intersect each other, the point of intersection is divided into three pairs of vertically opposite angles. Vertically opposite angles are opposite to each other and are equal in measure.

So, if one of the 6 angles is 90°, then the angle opposite to it will also be 90°. Now, there are 2 pair of angles left. So, there will be 4 angles out of which 2 angles will be equal to its pair angles. So, only 2 distinct angles will be left.

Therefore, there will be 2 distinct angles other than the 90 degree pair.

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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