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A regular pentagon and regular hexagon are jointly drawn in the figure. Find PQR?

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Sum of angles of a regular pentagon = (5 – 2) 180°

= 3 × 180 = 540°

One angle of a regular pentagon = \(\frac{540}{5}\) = 108°

Sum of angles of a regular hexagon = (6 – 2) 180°

= 4 × 180 = 720°

One of its angle = \(\frac{720}{6}\) = 120°

∴ ∠PQR = 360 – (108 + 120)

= 360 – 228 = 132°

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