the figures show a square a regular Pentagon and a regular hexagon put together find the angles
< DAE
< DAB

November 29, 2021

By Amaya

1 thought on “the figures show a square a regular Pentagon and a regular hexagon put together find the angles <br />< DAE<br />< DAB <br /”

1. Step-by-step explanation:

   We know that, all angles of square are 90°.

   In regular pentagon,

   Sum of the angles of n-sided polygon = (n – 2) × 180°

   ⇒ S = (5 – 2) × 180°

   ⇒ S = 3 × 180°

   ⇒ S = 540°

   Measure of each interior angle

   ⇒ Sum of all interior angle divided by number of side

   = 540°/5 = 108°

   In regular hexagon,

   Sum of the angles of n-sided polygon = (n – 2) × 180°

   ⇒ S = (6 – 2) × 180°

   ⇒ S = 4 × 180°

   ⇒ S = 720°

   Measure of each interior angle

   ⇒ Sum of all interior angle divided by number of side

   = 720°/6 =120

   Let us assume the point opposite

   ∠ PQS + ∠ RQS + ∠ PQR = 360° (pair of angles at a vertex)

   ⇒ 120° + 108° + ∠ PQR = 360°

   ⇒ 228° + ∠ PQR = 360°

   ⇒ ∠ PQR = 360° – 228°

   ⇒ ∠ PQR = 132°

   I HOPE THIS IS HELPFUL.

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