three lines intersect at a point generating 6 angles and one of these angles is 90 degree then the number of other distinct angl

Question

Wewaii [24]

4 years ago

13

three lines intersect at a point generating 6 angles and one of these angles is 90 degree then the number of other distinct angl

es will be how many?

Mathematics

1 answer:

noname [10] · Answer 1 · 2022-01-31T16:45:54+03:00

Answer:

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.