For items 42-45, refer to the figure to find the measure of the following:
B
A
Х
43
35
34
E
157
D
42. The measure of ZAOC ?
A. 134
B. 43
C. 200
43. The measure of ZEOB?
A. 130
B. 91
C. 126
44. The value of x in the figure above is?
A 60
B. 91
C. 43
45. The measure of the major arc CDE?
A. 1909
B. 1910
C. 157
46. This tool used for drawing circles and arcs?
B
A
Х
43
35
34
E
157
D
42. The measure of ZAOC ?
A. 134
B. 43
C. 200
43. The measure of ZEOB?
A. 130
B. 91
C. 126
44. The value of x in the figure above is?
A 60
B. 91
C. 43
45. The measure of the major arc CDE?
A. 1909
B. 1910
C. 157
46. This tool used for drawing circles and arcs?
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Step-by-step explanation:
42. A
43. C
44. B
45. B
solution:
To get the value of X:
The sum of the interior angles of a circle is 360°.
x=360-157-35-43-34
x=91° WHICH IS THE ANSWER FOR NUMBER 44.
Therefore, by substitution
AOC= x+43
= 91+43
=134°
EOB =35+x
= 35+91
=126°
Arc CDE = 34+157
= 191°