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.
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.
Exterior angles = 180 - 177 ie 3o; Number of sides = 360/exterior angle = 360/3 = 20.
120 sides
Exterior angle = 360/120 = 3 degrees. So interior angle = 180-3 = 177 degrees.
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
Each interior angle = 177 deg so each exterior angle = 3 deg [= 180-177] Sum of all exterior angles = 360 degrees, so number of exterior angles = 360/3 = 120 Number of sides = number of angles = 120 sides
The formula for the total sum of the interior angles of a regular polygon is s = (n-2)*180, where s is the total sum if the interior angles, and n is the number of sides. Since the number of sides equal the number of angles, the total sum of the interior angles is also equal to n*177 (since there are n angles and each measures 177 degrees). Setting these to equation equal to each other results in: n*177 = (n-2)*180 Distribute: 177n = 180n - 360 Subtract 180n from both sides: -3n = -360 Divide both sides by -3 n = 120 A regular polygon with interior angles of 177 has 120 sides.
The equation to find the size of the interior angle of an n sided shape is (n-2)180/n For a 120 sided shape, you need to plug n=120 into this equation. (120-2)180/120 =118x180/120 =177 Thus a 120 sided shape does have an angle of 177 degrees, and the statement in the question is true.
An obtuse angle
It would be an obtuse angle.
This question cannot be answered fro a variety of reasons.Religious people have been discussing the number of angels that could dance on a pinhead. They have yet to reach a definitive answer. Maybe they will then move on to discussing the number of angels in a polygon.An angle of a polygon does not provide enough information to determine the number of sides. For example, you can have a right angled triangle (3 sides), a rectangle (4 sides) or the outline of a child's drawing of a house - a square with a triangular roof (5 sides). The polygon can have any number of sides.
Regular steel BBs- they are .177 caliber.
177 x 177 = 1772 = 31,329