Answer:
∠ O = 72°
Step-by-step explanation:
the inscribed angle R is half the measure of its intercepted arc NQ , then
arc NQ = 2 × 36° = 72°
the central angle O is equal to the measure of the arc that subtends it , so
∠ O = arc NQ = 72°
The triangle is drawn and is shown in the image attached with.
We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.
D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:
AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units
So,
Therefore,
the length of DE will be 3 units
Your answer is A, because a verticle angle is made with two intersecting lines
The answer is 3 I hope this helps. please mark me brainliest :)