Answer:
8, m<QNR=63 degrees
Step-by-step explanation:
So, lets go over what we know:
The angle that makes up (8x-1) and 27 degrees is a right angle.
A right angle is 90 degrees.
So, to solve for angle m<QNR and for x, we must subtract and solve using 27 degrees, and (8x-1).
Lets put this into equation form:
(8x-1)+27=90
Lets subtract 27 from both sides to get the (8x-1) alone:
(8x-1)=63.
So lets stop here real quick.
We need to find angle M<QNR. This is (8x-1)
So looking at what we have solved so far, angle M<QNR must be 63 degrees.
Now, lets solve further to find out what x is:
(8x-1)=63
Lets add x to both sides to get 8x alone:
(8x)=64
We dont need the parethese, for they do not have a function, so:
8x=64
Finally, lets divide 8 from both sides so we can make 8x into just x:
x=8
So x is equal to 8.
Overall:
x = 8
Angle m<QNR = 63
Hope this helps! :)
