A regular pentagon and regular hexagon are jointly drawn in the figure

1.	A regular pentagon and regular hexagon are jointly drawn in the figure. Find PQR?
Answer» 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°

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

Answer»

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°