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
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.
It would be an obtuse angle.
Yes because the 3 interior angles of a triangle add up to 180 degrees
Regular steel BBs- they are .177 caliber.