Question 14
A)
Circle O is shown below. The diagram is not drawn to scale.
A circle has a center dot labeled O and radius lines N O and O Q forming two triangles with lines N R and Q R.
If mangleR = 28°, what is mangleO?
(1 point)
Responses
14°
14°
28°
28°
56°
56°
112°
To find the measure of angle O, we can use the property that angles in a triangle add up to 180 degrees.
Since angle R = 28 degrees, the sum of angles N and Q must be 180 - 28 = 152 degrees.
Since angles N and Q are identical, we can find each angle by dividing 152 by 2:
152 / 2 = 76 degrees
Therefore, angle O = 76 degrees.
Therefore, the correct answer is:
56°