The measure of exterior angle of triangle is 130 and 140 respectively. Which type of triangle is it?
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Answer:
right angled triangle
Step-by-step explanation:
let the interior angles of the triangle be x,y,z
therefore , by the concept that exterior angle =sum of opp. two interior angles we get
x+y=130
x+z=140
adding these two eqn
2x+y+z=270 ....(i)
and also x+y+z=180 (angle sum prop) ......(ii)
comparing (i) and (ii)
we get
2x-x=270-180
x=90
therefore the mentioned triangle is a right angled triangle
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right angled triangle
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