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Question

Find the value of the unknown interior angle $$x$$ in the following figure.
1645605_c2e97374d9a348d5b406c0d159c07a52.png


Solution

$$\angle BCA + 75^o = 180^o$$ {$$\because$$ they form a linear pair}
$$\therefore \angle BCA = 105^o$$
Sum of all interior angles of a $$\Delta = 180^o$$
$$105^o + 35^o + x = 180^o$$
$$\therefore x = 40^o$$
$$OR$$
Since, Exterior angle$$=$$Sum of interior opposite angles, therefore $$x+35^o=75^o$$
$$\Rightarrow x=75^o-35^o=40^o$$.
1339218_1645605_ans_489a1abfbec04e6ea48d95b45b8110aa.png

Mathematics
NCERT
Standard VII

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