I need help with geometry
1 answer:
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°
You might be interested in
Answer:
A.) For the first inequality (y<=-3x+5) the ordered pairs are (0,5) and (1,2).
For the second inequality(8x-4y<24) the ordered pairs are (0,-6) and (1,-4).
B. (0,-7) is a solution to both inequalities.
C. (0,6) is not a solution to either inequality.
D. (0,0) is a solution for the first inequality, but not the second inequality.
