Question

(1) Prove that an exterior angle of a triangle is equal to the sum of its interior
opposite angles. Based on this property find the value of unknown interior
Angle x.

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Answer 1

Answer:

draw triangle abc wher a on top,b on right side,c on left side

extend bc to d

now in triangle sum of angles =180

so  angle bac +angle abc + angle acb =180

angle acb = 180 - ext angle(adj. angle sum 180).substitute this in above equation

so we get

angle bac +angle abc+180 -ext.angle =180

anble bac +abc=ext angle

hence proved.

for finding value of x u need to have one more angle eith one of int opp. angle or other angle in triangle/pls give other angle

Step-by-step explanation: