Question

calculate the angle marked with small letters in the following diagram ​

Answer 1

Answer:

∠a = 40°

Step-by-step explanation:

according to question, ∠AOB = 100°

Then ∠DOC will also be 100° (vertically opposites are equal)

Sum of interior angle of ∆DCO = 180°

∠a = ∠DCO (Isosceles triangles have 2 equal sides and angles)

Let ∠a and ∠DCO be X because they're equal.

∠DOC + X + X = 180°

∠DOC + 2X = 180°

100° + 2X = 180°

2X = 180 ° - 100°

2X = 80°

X = 80°/2

X = 40°

∠a = 40° or

∠DCO = 40°

Above is your answer with solution.

If you're satisfied with the answer then mark me as Brainliest.