Answer:
√116 (or 10.77)
Step-by-step explanation:
(refer to attached )
in this case the points given are (-4,-3) and (-8,7)
hence x1 = -4, y1 = -3, x2 = -8, y2 = 7
D = √[ (x2-x1)² + (y2-y1)² ]
= √[ ( -8 - (-4) )² + ( 7 - (-3) )² ]
= √[ ( -8 +4 )² + ( 7 + 3 )² ]
= √[ ( -4 )² + ( 10 )² ]
= √[ ( 16 ) + ( 100 ) ]
= √116
= 10.77
we know that
m∠SQR+x= -------> by supplementary angles
so
m∠SQR=
The sum of the internal angles of a triangle is equal to degrees
m∠SQR+m∠QSR+m∠SRQ=
substitute the values in the formula
m∠SQR++
=
m∠SQR= degrees
<u>Find the value of x</u>
m∠SQR=
x=-m∠SQR
x=
x= degrees
therefore
<u>the answer is</u>
the value of x is degrees