An exterior of a triangle is 110° and its two interior opposite angles are equal. find each of these equal angles
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55°
Step-by-step explanation:
Exterior angle is 110°.
Angle of the triangle adjacent to the exterior angle is (180-110)° = 70°
The two oppositie of exterior angles are equal.
Let each of those angles be x°.
Sum of all angles of a triangle is 180°
So,
x + x + 70 = 180
x + x = 180 - 70
2x = 110
x = 110/2
x = 55°
Hence, those equal angles are of 55°.
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