Solve questions 5 and 9.
"

Q5)

Answer:

Since half of angle A or 1/2 A = 25, angle A = 2 x 25 = 50 degrees

Since half of angle D or 1/2 D = 30, angle D = 2 x 30 = 60 degrees

AD || BC (Given)

Angle ABC is angle B and angle BCD is angle C

Angles A and  B form interior angles on same side of transversal

So A + B = 180 or L B = L ABC = 180 - 50 = 130 degrees  Answer

Similarly, D + C = 180 or LC = LBCD = 180 - 60 = 120 degrees Answer

Q9)

Dropping perpendicular from top base to bottom base from point D to AB to meet it at E

AE/15 = Cos 60 = 1/2 or AE = 15/2 = 7.5

Since the trapezium is an isosceles trapezium

Length of AB = 2AE + DC = 2(7.5) + 11 = 15 + 11 = 26 cm  Answer

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Updated on: 10-Oct-2022

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