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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 |
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Answer» 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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