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Question 108
State whether the statements are True or False.
The interior angles of a triangle are in the ratio 1 : 2 : 3, then the ratio of its exterior angles is 3 : 2 : 1.


Solution

False
Given, the ratio of interior angles = 1 : 2 : 3.
Let the interior angles be x, 2x and 3x.
So, x+2x+3x=180           [angle sum property of triangle]
6x=180x=1806=30
The interior angles are 30,60 and 90.
Now, the exterior angles will be (18030),(18060) and (18090)
i.e. 150,120 and 90.
The ratio of exterior angles =150:120:90=15:12:9=5:4:3.

Mathematics
NCERT Exemplar
Standard VIII

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