+0  
 
0
188
1
avatar

Find the measures of each angle in the inscribed quadrilateral.

 

 Mar 11, 2021
 #1
avatar+524 
+2

PQRS is a cyclic quadrilateral.

Since opp. angles are supplementary,

 

⇒∠P + ∠R = 180

⇒5y + 15 + 15y + 45 = 180

⇒20y + 60 = 180 

⇒20y         = 120

⇒y             = 6

 

Thus, 

∠P = 45°

∠Q = 111°

∠R = 135°

∠S = 360 - (45 +111+135)                             [Sum of all angles = 360°]

      = 69º

 Mar 11, 2021

20 Online Users

avatar