Question 81(i)

If two angles have a common vertex and their arms form opposite rays (figure). Then
How many angles are formed?

Open in App

Solution

Total 13 angles are fomred, namely $∠ A O B, ∠ B O C, ∠ C O D, ∠ D O A, ∠ A O C, ∠ B O D, ∠ D O B, ∠ A O D, ∠ B O A, ∠ C O B, ∠ D O C, ∠ A O A$ .

Suggest Corrections

Similar questions

Question 81(i)

If two angles have a common vertex and their arms form opposite rays (figure). Then
How many angles are formed?

Question 81(ii)

If two angles have a common vertex and their arms form opposite rays (figure). Then,
How many types of angles are formed?

Question 81(iii)

Two angles have a common vertex and their arms form opposite rays (figure). Then
Write all the pairs of vertically opposite angles

Q. Prove that if the sum of two adjacent angles is

180^{o}

, then the non-common arms are two opposite rays.

Question 29

In a pair of adjacent angles, (i) vertex is always common (ii) one arm is always common, and (iii) uncommon arms are always opposite rays. then
(a) all (i), (ii) and (iii) are true
(b) (iii) is false
(c) (i) is false but (ii) and (iii) are true
(d) (ii) is false

Join BYJU'S Learning Program

Question 81(i) If two angles have a common vertex and their arms form opposite rays (figure). Then How many angles are formed?

Total 13 angles are fomred, namely ∠AOB, ∠BOC, ∠COD, ∠DOA, ∠AOC, ∠BOD, ∠DOB, ∠AOD, ∠BOA, ∠COB, ∠DOC, ∠AOA.

Question 81(i)

If two angles have a common vertex and their arms form opposite rays (figure). Then
How many angles are formed?

Total 13 angles are fomred, namely $∠ A O B, ∠ B O C, ∠ C O D, ∠ D O A, ∠ A O C, ∠ B O D, ∠ D O B, ∠ A O D, ∠ B O A, ∠ C O B, ∠ D O C, ∠ A O A$ .