Question

Freinds plz solve the problem ​

Answer 1

Answer:

❤️ Hey mate ❤️

Check attachment.......

Hope this will help you

Answer 2

(A) Given :-

OC bisects angle AOD and OE bisects angle BOD.

to prove :- AOB is a straight line.

proof :-

➡ angle 1 = angle 2 -------(i)

similarly,

➡ angle 3 = angle 4 -------(ii)

now, OC bisects OE

therefore angle COE = 90°

➡ angle 1 + angle 2 = 90° ------(iii)

also, angle 3 + angle 4 = 90° (from (i) and (ii)) ------(iv)

now from equation (iii) and (iv), we get

= angle 1 + angle 2 + angle 3 + angle 4

= 90° + 90°

= 180°

we know that the angle of a straight line is 180°

hence it's proved that AOB is a straight line.

(B) Given :-

AOB is a straight line

angle AOB = angle COB -------(i)

to prove :- angle AOB = angle COB = 90°

proof:-

we know that the angle of a straight line is 180°

➡ angle AOB + angle COB = 180°

➡ angle AOB + angle AOB = 180° (from (i))

➡ 2angleAOB = 180°

➡ angle AOB = 90°

➡ angle AOB = angle COB = 90°

hence proved!