Which numbers are a distance of 3 units from 12 on the a number line?
2 answers:
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A linear pair is supplementary.
It always helps to draw out a diagram with the information you have - it makes the solving process more visual and sometimes easier. I have attached a diagram of this linear pair.
So, since a linear pair is supplementary, we know these two angles add to equal 180°. Let's write this in an equation.
(5<em>n</em> + 15) + (4<em>n</em> + 21) = 180
Solve for <em>n</em>.
(5<em>n</em> + 15) + (4<em>n</em> + 21) = 180
5<em>n</em> + 15 + 4<em>n</em> + 21 = 180
9<em>n</em> + 36 = 180
9<em>n</em> = 144
<em>n</em> = 16
We're not done yet - now we have to plug this in for <em>n</em> to find the angle measures.
5<em>n</em> + 15
5(16) + 15
80 + 15
95
4<em>n</em> + 21
4(16) + 21
64 + 21
85
Lastly, check your work by adding the angle measures.
95 + 85 = 180
<h3>Answer:</h3>m∠EFG = 95°
m∠GFH = 85°
