Q14 of 95 Page 6

In the given figure, find ∠P.

From the figure,





Hence,


Now it can be seen that both the triangles are similar as the corresponding sides are propotional.


From the figure we can see that,


∠ P = ∠ C


From ΔABC,


∠ A + ∠ B + ∠ C = 180°


60° + 80° + ∠ C = 180°


∠ C = 180° – 140°


∠ C = 40°


Hence, ∠ P = 40°


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