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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