Selina solutions

Selina solutions

Grade 6

Quadrilateral | Exercise 27(B)

Question 1

Q1) In a trapezium ABCD, side AB is parallel to side DC. If ∠A = 78° and ∠C = 120°, find angles B and D.

Solution:

AB || DC and BC is transversal

∠B and ∠C, ∠A and ∠D are cointerior angles

with their sum = 180°

∠B + ∠C = 180°

∠B + 120° =180°

∠B = 180° - 120°

∠B = 60°

∠A + ∠D = 180°

78° +∠D = 180°

∠D = 102°

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subject-cta

Question 1

Q1) In a trapezium ABCD, side AB is parallel to side DC. If ∠A = 78° and ∠C = 120°, find angles B and D.

Solution:

AB || DC and BC is transversal

∠B and ∠C, ∠A and ∠D are cointerior angles

with their sum = 180°

∠B + ∠C = 180°

∠B + 120° =180°

∠B = 180° - 120°

∠B = 60°

∠A + ∠D = 180°

78° +∠D = 180°

∠D = 102°

Still have questions? Our expert teachers can help you out

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subject-cta
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