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CBSE Class 8 Answered

In a quadrilateral BLUE bo and lo  are the inspectors  of angle B and angle L respectively
Prove that angle BOL =1/2(angle U +angle E)
Asked by ajayrath7 | 26 Aug, 2017, 06:42: PM
answered-by-expert Expert Answer
 
begin mathsize 16px style In space triangle space BOL comma
angle BOL plus angle 1 plus angle 2 equals 180 degree
rightwards double arrow angle BOL equals 180 degree minus left parenthesis angle 1 plus angle 2 right parenthesis
rightwards double arrow angle BOL equals 180 degree minus open parentheses 1 half angle straight B plus 1 half angle straight L close parentheses
rightwards double arrow angle BOL equals 180 degree minus 1 half left parenthesis angle straight B plus angle straight L right parenthesis
rightwards double arrow angle BOL equals 180 degree minus 1 half open square brackets 360 degree minus open parentheses angle straight U plus angle straight E close parentheses close square brackets
rightwards double arrow angle BOL equals 180 degree minus 180 degree plus 1 half left parenthesis angle straight U plus angle straight E right parenthesis
rightwards double arrow angle BOL equals 1 half open parentheses angle straight U plus angle straight E close parentheses end style
Answered by Rashmi Khot | 06 Dec, 2017, 02:43: PM

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