Question

if you answer BOTH with STEPS, I'll mark you as a brainlist, good luck ♡​

Answer 1

Answer:

angle abc is 90⁰ ( angle in a semi circle is a right angle)

angle abo is 45⁰ ( bo is bisector)

ii) angle boa is 85⁰ { angle sum property: 180-(45+90)}

angle boc is 95⁰ ( linear pair : 180 - 85)

Using angle sum property in triangle boc :

180 - (45⁰ + 95⁰)

180 - 140

40⁰

i) hence angle bca is 40⁰.

hope this helps you

Answer 2

Step-by-step explanation:

∠ABC= 90° (angle touching the circumference of a semi circle is always 90°)

Since we've got ∠ABC and ∠BAO=50° then,

i.) ∠BCA= 180°-(∠ABC+∠BAC)

∠BCA= 180°-(140°)

∠BCA= 40°

ii.) Since OA= OB(radii of a same circle)

△OAB is isosceles triangle( 2 sides(OA=OB equal)

∠BAO= ∠ABO(Isosceles △ theorem)

∠BAO= ∠ABO=50°

Therefore,

∠BOA= 180°-(50°+50°)

∠BOA= 80°

HOPE THIS HELPS U. 1 SUGGESTION I WOULD LIKE TO GIVE U IS THAT THESE TYPE OF QUESTIONS ARE DIRECTLY BASED ON THEIR THEOREMS PROVIDED.