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27 votes
27 votes
I'm in desperate need on how to solve​

I'm in desperate need on how to solve​-example-1
User Openshac
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2 Answers

18 votes
18 votes

Answer:

x = 5; m<1 = 69

Explanation:

We know that the two angles with degrees 20x+11 and 25x-14 are vertical angles and are thus congruent or equal. Therefore, we can set the two angles equal to each other to find x:


20x+11=25x-14\\20x+25=25x\\25=5x\\5=x

If we plug in x into any of the two angles, we find the measure of both angles is 111.

The most probable relationship between angle 1 and the other two angles is supplementary, which means that the measure of angle 1 and any of the two angles beside it is 180.

To find m<1, represented as x, we can use the equation:


180=20(5)+11+x\\180=111+x\\69=x

User Morfioce
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2.9k points
21 votes
21 votes
Seeing how there both equal 25x-14 = 20x+11 is the equation and x = 5 which means both sides are 111 degrees
User John Asmuth
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2.6k points