Mathematics

Mark the correct alternative of the following.
The angles of a triangle are in the ratio $$2:3:7$$. The measure of the largest angle is?


ANSWER

$$105^o$$


SOLUTION
Given the angles of a triangle are in the ratio $$2:3:7$$.
Let the angles of triangle be $$2x,3x$$ and $$7x$$.
Then according to the problem we get,
$$2x+3x+7x=180^o$$
or, $$12x=180^o$$
or, $$x=15^o$$.
Then the largest angle is $$7\times 15^o=105^o$$.
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Single Correct Medium Published on 09th 09, 2020
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