Find the measure of ∠R from the given figure.

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Solution

Explain:

Step 1: Compare the ratio of the corresponding sides of the two triangles.

AB/PQ=BC/QR =AC/PR =1/2

Step 2: From the SSS similarity, we will get

∆ABC ~ ∆PQR

Step 3: Find the value of ∠R

∠C = ∠R

∠C = 180°− ∠A − ∠B

∠C = 180°− 70°− 60°

∠C = 50° = ∠R >

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