Answer:
arc 1 = 108 degrees
angle 2 = 54 degrees
Step-by-step explanation:
180 - 72 = 108 (half circle -72)
draw a line from center of circle to tangent point.
this line is perpendicular to the tangent line.
all radii are equal.
then, triangle made with the new line is isosceles with two equal angles.
those angles are 36 degrees each (180 - 108 = 72, 72/2 = 36)
line drawn from center to tangent point is 90 degrees so:
90 - 36 = 54 degrees
