Question

The sum of the measures of two of the angles formed by the intersection of two lines is 50°. Find the measures of the angles. I need four numbers, as in four angles

Answer 1

Answer:

25°, 25°, 155° and 155°

Step-by-step explanation:

Let's call the four angles a, b, c and d.

These angles are supplementary and vertically opposite in pairs, so we have:

$a = c$

$b = d$

$a + b = 180\°$

$c + d = 180\°$

If the sum of two of these angles is 50°, these angles need to be the vertically opposite ones (a and c or b and d). So we have that:

$a + c = 50\°$

Substituting 'c' for 'a', we have:

$2a = 50$

$a = 25\°$

Now we can find the value of the three other angles:

$c = a = 25\°$

$b = 180 - a = 155\°$

$d = 180 - c = 155\°$