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How many sides does a regular polygon have if the measure of one interior angle is 150?
if the interior angle is 150 the exterior angle equals 30. since exterior angle equals 360/ by number of sides the number of sides equals 360/30 which equal 12
How many sides does a polygon have if the sum of its interior angles is equal to the sum of its exterior angles?
The sum of the exterior angles of all polygons equals to 360⁰.Since only the sum of the interior angles of all quadrilaterals equals to 360⁰, the polygon must have 4 sides.
What is the area of a triangle if angle a equals 42 degrees angle b equals 87 degrees and angle c equals 24 degrees?
A triangle with interior angles of 42, 87 and 24 degrees doesn't exist because the angles add up to 153 degrees whereas the interior angles of any triangle always add up to 180 degrees.
What is the value of x if a triangle has two 50 degree angles?
If you meant x to be the third interior angle, x would equal 80, because the sum of all three interior angles of a triangle equals 180. So 80+50+50=180
What degree is an octagon?
A regular octagon has 8 sides with an Interior Angle of 135° and an Exterior Angle of 45°. The sum of interior degrees in any geometric shape is 180*(n-2) where n equals the number of sides. Accordingly for an octagon with n = 8, The sum of interior degrees is 1080
How do you use the exterior angles of a triangle to find interior angle measurements?
Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right,
Does exterior angle of a triangle equals the sum of the interior angles?
Actually, no. The sum of the exterior angles of a triangle is 360 degrees. The sum of the interior angles of a triangle is 180 degrees.
What is the measure of each exterior angle of a triangle?
Any exterior angle of a triangle always equals the sum of the two interior opposite angles.
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
Very rarely.
What therom states The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles?
the exterior angle theorem
Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.
The sum of an interior angle and an exterior angle of regular hexagon equals?
Interior is 120 degrees Exterior is 60 degrees.
The cosine of an angle equals the ratio of the?
adjacent side to the hypotenuse in a right triangle.
What is the measure of one of the exterior angles of regular pentagon?
Mathematically - A regular pentagon has interior angles and sides equal. Bisecting each interior angle and extending a line segment to the center gives you five equal angles (360o/5=72o). Using the triangle formed by two line segements and a side of the pentagon we know the sum of interior angles of each triangle equals (180o) and we know one angle is 72o. The sum the other two interior angles of each triangle equals (180o-72o=108o) which equals each interior angle of the pentagon (equal to the sum of these two angles). Thus the exterior angle of each corner of the pentagon equals (360o-108o=252o). :-)
A figure has 3 sides What is the sum of its exterior angles?
360A triangle is a polygon with three sides and three angles. The sum of the interior angles of a polygon equals 180(n - 2), where n is the number of sides.180(3 - 2) = 180°Assuming all the angles in the triangle are congruent, find the measure of one interior angle.180° ÷ 3 = 60°If an interior angle equals 60°, then its corresponding exterior angle will equal 120° because the angles are supplementary (their sum is 180°).120° × 3 = 360°Therefore, the sum of the exterior angles of a triangle is 360°.study island
What are the angles on the outside of triangles?
The Exterior angles are named as 'REFLEX' angles. At any one angular point, the sum of the Interior angle and the Exterior angle equals 360 degrees. There being three angles in a triangle, then the sum of all the angles is 3 x 360 = 1080 degrees. Since the sum of the three interior angles is 180 degrees., then the sum of the exterior (reflex) angles is 1080 - 180 = 900 degrees.
What is the outside angle for a hexagon?
If the hexagon it regular ie: all the interior angles are the same. Then the exterior angles will equal: 360 - Interior Angle=Exterior angle 360 - 120 = 240 Exterior angle equals= 240 NB: Interior angle equals 720/6
