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srisrilatha057:
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Hence, the angles are 30,75,75 degree
Step-by-step explanation:
Given, the interior opposite angles to the exterior angle 105∘ are in the ration 2:5
∴2x+5x=105 degree
7x=105o ⟹x=15 degree
Therefore the interior opposite angles to the angle 105o are 2x=2(15)=30o and 5x=5(15)=75 degree
Let the third angle of the triangle be C
Let the third angle of the triangle be CWe have the sum of interior angles of a triangle is 180.
∴30o+75o+C=180
C=180o−75o−30o=180o−105
C=75
Hence, the angles are 30,75,75.
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