In the figure, O is the centre of the circle.
Calculate the magnitudes of AngleAPC
(A) 790
(B) 32°
(C) 47°
(D) 34.50
Attachments:
Answers
Answered by
5
Answer: (A) 79°
Step-by-step explanation:
Construct a line PO.
In ΔOPA,
OP = OA (Radii)
Since 2 sides of a triangle are equal, the triangle is isosceles.
∠OAP = 32° (Given)
∠APO = 32° (Isosceles Triangle Property)
∠APO = 180 - (32 + 32) (Angle Sum Property)
= 180 - 64
= 116°
In ΔOCP,
OP = OC (Radii)
Since 2 angles of the triangle are equal, the triangle is isosceles.
∠OCP = 47° (Given)
∠CPO = 47° (Isosceles Triangle Property)
∠POC = 180 - 47 + 47 (Angle Sum Proptery)
= 180 - 94
= 86°
r∠AOC = 116 + 86
r∠AOC = 202°
∠AOC = 360 - 202 (Complete Angle)
∠AOC = 158°
∠APC = 158/2
∠APC = 79°
Answered by
0
Answer:
79
Step-by-step explanation:
Similar questions