Question 144
In the given figures, the lengths of the sides of ΔABC and ΔPQR are given and they are given in same units. Also ∠A and ∠B are given. Then value of ∠P is
Solution
as we can see that in the given triangles
$$\frac{AB}{RQ} = \frac{AC}{RP} = \frac{CB}{PQ} = \frac{1}{2}$$
We know that if ratio of corresponding sides are equal in two triangles ,then the given traingles are similar and in similar triangles ass coressponding angles are also equal.
So , ∠A = ∠R , ∠C = ∠P , ∠B = ∠Q
∠C = 180 - ( 80 + 60) = 40
So ∠P = 40
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