Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
Answer:
-16
Step-by-step explanation:
m^2 + n^2
-5^2 + 3^2 = -16
Answer:
Either C or B I’m not quite sure which one. I’m sorry
Step-by-step explanation:
Answer:
First angle: 27
Second angle: 135
Third angle: 18
Draw a triangle with one obtuse angle and 2 acute angles.
Step-by-step explanation:
<u>Determine the variables</u>:
first angle: f
second angle: s
third angle: t
<u>Write an equation for the second angle:</u>
s=5f
<u>Write an equation for the third angle:</u>
t=2/3f
<u>Write an equation for the total angle measurements:</u>
s+t+f=180
<u>Substitute them and solve</u>
5f+2/3f+f=180
f=27
5(27)=135=s
2/3(27)=18=t
First angle: 27
Second angle: 135
Third angle: 18
