Question

what value of x make AB parallel to CD if angle M=2x+61 and angle N=5x+10​

Answer 1

Answer:

Question: In a trapezium ABCD, AB parallel to CD, ∠A=(2x-35°), ∠B=y°, ∠C is 85° and ∠D is (3x+65°) the value of x any y ?

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Answer

OPTION D

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Step By Step Explanation.

Step 1

In Trapezium ABCD,

AB ║CD

∠A + ∠D = 180° (co-interior angles)

(2x-35°) + (3x+65°) = 180°

5x + 30° = 180°

5x = 180° - 30°

5x = 150°

x = 150/3

x = 30°

Therefore, value of 'x' = 30°

Step 2

Similarly,

∠B + ∠C = 180° (co-interior angles)

y + 85° = 180°

y = 180° - 85°

y = 95°

Therefore value of 'y' = 95°

x = 30°

y = 95°

∴ Option D, 30°, 95° is the correct option

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Thank You!