Answer:
38°
Step-by-step explanation:
Complementary means that they add up to 90
So then to find the measure of angle 2, subtract the measure of angle 1 from 90.
90-52=<u>38</u>
$.58 ; 3.24-.29is 2.95 and 2.95 divided by 5 is .58
Consider the triangle (<em>in </em><em>which </em><em>angle</em><em>4</em><em> </em><em>is </em><em>present</em>)
by angle sum property,
20 + 40 + angle4 = 180
60 + angle4 = 180
angle4 = 180 - 60
angle4 = 120
Also,
angle2 = 120 (vertically opposite angles)
angle1 + angle2 = 180 (linear pair)
angle1 + 120 = 180
angle1 = 180 - 120
angle1 = 60
The area of the entire sector is 
The area of the triangle OAB is 
.
So, the area of the segment is 
