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Q.4.adjacent angles of a parallelogram are in the ratio 2:3 find the angles of the parallelogram ?? Q.5. adjacent angles of the parallelogram are (3x-40)degreesand (2x+20)degrees, find all the angles of the parallelogram ???
Asked by Kunwar Digvijay Singh Tanwar | 15 Mar, 2013, 02:22: PM
answered-by-expert Expert Answer
The sum of adjacent angles of a parallelogram is 180 degree since they are interior angles on the same side of the transverse between 2 parallel lines.
 
Q4. So, let the angles be 2x and 3x
2x+3x = 180
hence, 5x = 180
x = 36
 
So, the angles of the paralleogram are 2(36)  and 3(36) = 72 and 108 degree respectively. Also, opposite angles of a parallelogram are equal, so the angles would be 72, 108, 72, 108.
 
Q5.  Similarly, here
3x-40 + 2x+20 = 180
Hence, 5x = 200, x = 40
Hence, angles are 80, 100, 80, 100 degree respectively. 
Answered by | 16 Mar, 2013, 05:47: AM

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