Given: 𝑚∠𝑃 = 30°, 𝑚∠𝑄 = 30° , 𝑚∠𝑄 = 𝑚∠𝑅
Prove: 𝑚∠𝑃 ≅ 𝑚∠𝑅 = 30°

The correct answer is:

SOL – It is given that 𝑚∠𝑃 = 30° and  𝑚∠𝑄 = 30°

𝑚∠𝑃 = 𝑚∠𝑄           ---- (1)
Further, it is given that 𝑚∠𝑄 = 𝑚∠𝑅    ---- (1)
Using transitive property which states that if A = B and B = C then A = C
We get from (1) and (2),

𝑚∠P = 𝑚∠R = 30°
Hence Proved