Selina solutions

Selina solutions

Grade 6

Properties of Angles and Lines (Including Parallel Lines) | Exercise 25(A)

Question 1

Q1)

Two straight lines AB and CD intersect each other at a point O and angle AOC = 50° ; find :

(i) angle BOD

(ii) ∠AOD

(iii) ∠BOC

Solution:

∠BOD = ∠AOC

(Vertically opposite angles are equal)

∠BOD = 50°

(ii) ∠AOD

∠AOD + ∠BOD = 180°

∠AOD + 50° = 180° (From i)

∠AOD = 180° - 50°

∠AOD = 130°

(iii) ∠BOC = ∠AOD

(Vertically opposite angles are equal)

∠BOC = 130°

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subject-cta

Question 1

Q1)

Two straight lines AB and CD intersect each other at a point O and angle AOC = 50° ; find :

(i) angle BOD

(ii) ∠AOD

(iii) ∠BOC

Solution:

∠BOD = ∠AOC

(Vertically opposite angles are equal)

∠BOD = 50°

(ii) ∠AOD

∠AOD + ∠BOD = 180°

∠AOD + 50° = 180° (From i)

∠AOD = 180° - 50°

∠AOD = 130°

(iii) ∠BOC = ∠AOD

(Vertically opposite angles are equal)

∠BOC = 130°

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subject-cta
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