Answer:
22°
Step-by-step explanation:
a right angle have 90°
So
x+68°=90°
=>x=90-68
=22°
Answer:
Perimeter = 25
Step-by-step explanation:
J(-2, 5)
K(1, 1)
L(1, -1)
M(-5, -4)
N(-5, 1)
Formula for distance between 2 coordinates is;
d = √((x_2 - x_1)² + (y_2 - y_1)²)
Thus;
JK = √((1 - (-2))² + (1 - 5)²)
JK = √25
JK = 5
KL = √((1 - 1)² + (-4 - 1)²)
KL = √25
KL = 5
LM = √((-5 - (-1))² + (-4 - (-1))²)
LM = 5
MN = √((-5 - (-5))² + (1 - (-4))²)
MN = 5
JN = √((-5 - (-2))² + (1 - 5))²)
JN = 5
Thus;
Perimeter = 5 + 5 + 5 + 5 + 5
Perimeter = 25
The measure of < JKL = 25+25 = 50 degrees.
Angle JOK = 360 -230 = 130 degrees , (where O is the center of the circle)
< OLK = < OJK = 90 degrees ( tangent to a circle)
< LOK = < JOK = 180 - (90+65) = 180 - 155 = 25 degrees
The solution is: < JKL = 25 +25 = 50 degrees
