Step-by-step explanation:
In ΔAPO and ΔBPO,
( Length of tangents from an external point to a circle are equal)
( Radii of same circle)
( Common side)
∴ ΔAPO = ΔBPO (SSS Congruence) ---------------(1)
Given that, ∠AOP = 64°
∠AOP = ∠BOP [ From (1) ]
⇒∠BOP = 64
Now,
∠BOP + ∠BOD = 180° ( Linear Pair)
∠BOD = 180 - 64 (∵ ∠BOP = 64°)
∴ ∠BOD = 116°
Hope that helps!!
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It took a lot of time to type it!!
Answer:
-89/250
Step-by-step explanation:
as a simplfied fraction
(88+96+98+90+x)/5=94
Add all the numbers
(372+x)/5=94
Multiply both sides by 5
372+x=470
Subtract 372 from both sides
x=98
Double check:
88+96+98+90+98=470/5=94
Hope that helps
Answer:
1.45
Step-by-step explanation:
Using law of sines we see
1.3*sin(68 deg)/sin(56 deg) = 1.45
