Question

No one can solve these questions correctly with full explanation step by step,let's see ur intelligence and remember only those who have intelligence can try to solve this ​

Answer 1

Answer:

Step-by-step explanation:

1) To find the sum of the interior angles of a pentagon, divide it up into triangles... There are three triangles formed ... Because the sum of the angles of each triangle is 180 degrees... We get  3 × 180 = 540

Hence proved!!!

2) it is in the attachment

3)Ray BO is the bisector of angle CBE

Therefore,angle CBO=1/2of angle CBE

=1/2(180-y)

=90-y/2 (1)

Similarly,ray OC is the bisector of angle BCD

Therefore,angle BCO=1/2 of angle BCD

=1/2(180-z)

=90-z/2 (2)

In triangle BOC,angle BOC+BCO+CBO=180 (3)

Substituting (1,2,3) you get

Angle BOC+90-z/2+90-y/2=180

Angle BOC=z/2+y/2

=1/2(y+z)

But,x+y+z=180 (angle sum property)

y+z=180-x

Angle BOC=1/2(180-x)

=90-x/2

=90-1/2angle BAC

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