Question

When two parallel lines are intersected by a transversal eight angles are formed. If the measure of one of these eight angles is given, can we find measures of remaining seven angles?

Answer 1

hello friend

we can find all the other seven angles if one angle is given

i could show you if you gave a question

Answer 2

Answer:

Yes, we can find the other 7 angles if one is known.

Step-by-step explanation:

If we are given two parallel lines 'l' and 'm',

Both of which are intersected by a transversal line say 'n'.

So,

The eight angles formed are shown in the figure attached,

Here, we can see that,

1 and 2, 3 and 4, 5 and 6 and, 7 and 8 are Vertically Opposite Angles respectively.

If, we have the value of any angle say, 1, then all the other angles can be measured by,

$1 = x=2\\So,\\3 = (180 - x) = 4\\Also,\\7 = 8 = (180 - x)\\and,\\5 = 6 = x$

Because, 'l' and 'm' are straight lines.

Therefore, we can find the remaining seven angles, if any one is known.