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Standard VIII

Mathematics

Angle Sum Property for Triangles

Question 81i ...

Question

Question 81(i)

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

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Solution

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

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Similar questions

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

Q. In the given figure,

∠ B A C

and

∠ C A D

are adjacent angles. Find the common vertex and common arm.

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Angle Sum Property for Triangles

Standard VIII Mathematics

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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 $∠ A O B, ∠ B O C, ∠ C O D, ∠ D O A, ∠ A O C, ∠ B O D, ∠ D O B, ∠ A O D, ∠ B O A, ∠ C O B, ∠ D O C, ∠ A O A$ .