If interior angles are 177o then exterior angles are 3o. Exterior angle times number of sides is always 360 so the polygon has 120 sides.
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Exterior angles = 180 - 177 ie 3o; Number of sides = 360/exterior angle = 360/3 = 20.
120 sides. Sum of exterior angles of a polygon = 360o (= number_of_sides x exterior_angle for a regular polygon). For 177o interior angle, exterior angle = 180o - 177o = 3o. Thus: 360o = numb_of_sides x 3o => number_of_sides = 360o / 3o = 120
An obtuse angle
Yes because the 3 interior angles of a triangle add up to 180 degrees
This is an informal answer. Imagine an angle of 5°. It is quite small and thin. Go down to 4°, 3° 2° 1° 0° until it becomes a straight line. Imagine another large angle of 175°, Make it bigger 176° 177° 178° 179° 180°. That's a big angle, but it is also a straight line. In practice you can't tell the difference between 0° and 180°. In theory you can. Someone may have an entirely different approach.