One of the exterior angles of a triangle is 153" and the interior opposite angles are in the ratio 5 : 4 Find the three interior angles of the triangle
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85°, 68°, 27°
Step-by-step explanation:
Exterior angle=153°
Opposite interior angle are in the ratio=5:4
=Exterior angle= sume of opposite interior angle
153°=5x+4x=9x
9x=153°
x=153/9
=17°
= One angle=5×17= 85°
= Second angle= 4×17= 68°
=Third angle= x
= Sum of all angles in a triangle= 180°
= 85°+68°+x = 180°
153°+x = 180°
x = 180-153
x = 27°
-- THE THREE ANGLES ARE = 85°, 68°, and 27° .
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