Question

Giving brainliest to anyone who answers
in the diagram below A,B,C and D are points on a circle having center O.
PBT is a tangent to the circle at B
Reflex BOC=O1 =310 as shown in the diagram below
Calculate giving reasons the value of
D1
B3
B1 if it is given that A=60​

Answer 1

D1=25°

B3=25°

B1=30°

Step-by-step explanation:

1. O1+O2=360°(revolution)

310°+O2=360°

O2=360°-310°

=50°

O2=2D1(centre theorem)

50°=2D1

D1=25°

2. D1=B3=25°(tan chord theorem)

3. B2+B3=A=60°(tan chord theorem)

B1+B2+B3=90°(Radius perpendicular Tangent)

B1+60°=90°

B1=90°-60°

=30°