The two angles of a parallelogram are in the ratio 5:13. If the bigger angle is halved then what will be the ratio of new parallelogram obtained?
Answers
23 : 13 will be the ratio of angles of new parallelogram obtained
Step-by-step explanation:
The two angles of a parallelogram are in the ratio 5:13
Let say one angle = 5A then other = 13A
opposite angles of parallelogram are equal
& sum of adjacent angles = 180°
5A + 13A = 180°
=> 18A = 180°
=> A = 10°
5A = 50°
13A = 130°
bigger angle is halved => 130/2 = 65°
Then other angle = 180° - 65° = 115°
Ratio of angles of new parallelogram = 115 : 65
= 23 : 13
23 : 13 will be the ratio of angles of new parallelogram obtained
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