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1. Two opposite angles of a parallelogram are (5x + 1)° and (49 – 3x)°.

Find the measure of these opposite angles of the parallelogram


(5x + 1) = ( 49- 3x)
5x + 3x = 49 - 1
8x = 48
x = 48/8
x= 6
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Since we know that the opposite angles of a llgm are equal. 
So, (5x+1)=(49-3x)

First angle is 5x+1
=5X6+1......(putting value of x as 6).

Second angle is 49-3x
Hence, both angles are 31 degree.
1 5 1
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8. The surface area of a sphere of radius 5 cm is five times the curved surface area of a cone 
of radius 4 cm. Find the height of the cone. 
The internal and external diameters of a hollow hemispherical vessel are 24cm and 25cm respectively. The cost to paint 1 sq. cm of surface is Rs. 1.75. Find the total cost to the nearest rupee to paint the vessel all over. Ignore the area of the edge. (Take ᴫ= 3.14) 
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