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

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:

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:

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

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

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer