A heptagon. It can have a reflex interior angle, a triangle cannot.
The sum of the 3 interior angles of any triangle ... no matter how large or small ... is always 180 degrees. This rule has no connection to the perimeter of the triangle. The perimeter may be one inch, less than one inch, 10 miles, more than 1,000 miles, etc., and the sum of the interior angles is always the same 180 degrees.
Any value between 0 and 360 degrees excluding 180 degrees and the two extreme values. The exception is a triangle where it cannot be as large as 180 degrees.For a regular convex polygon, each interior angle is determined by the number of sides n:interior angle = 180 (n-2) / nFor an equilateral triangle, 180 x (1) / 3 = 60For a square 180 x (2) / 4 = 90 (right angles)
90 degrees. This is an isosceles right triangle, standing on its hypotenuse.
Let x equal the first angle.let 4x= the second anglelet 3x+10x+4x+3x+10=180 The sum of the interior angle measures of a triangle is 180 degrees.8x+10=180 combine like terms8x=170 addition(subtraction) property of equalityx=21.25 degrees
No but the sum of the squared sides will equal the square of the hypotenuse using Pythagoras' theorem for a right angle triangle
the ratios in such a triangle are 1:2:sqrt(3) so the longest length is opposite the 90 degree angle and is twice as large as the length opposite the 30 degree angle
A = 60 B = 20 C = 140 This can have a large number of answers.
Let's assume the measure of the first angle is x degrees. The second angle is one-third as large as the first, so its measure is (1/3) * x = x/3 degrees. The third angle is two-thirds as large as the first, so its measure is (2/3) * x = 2x/3 degrees. Therefore, the measures of the angles in the triangle are x degrees, x/3 degrees, and 2x/3 degrees.
First angle=X Second angle=4x Third angle=5X-45 Since the angles of a triangle always = 180o x+(4X)+(5X-45)=180o 10X-45=180 10X=225 X=22.5 Therefore. . . First Angle=X=22.5o Second Angle=4X=90o Third Angle=5X-45=67.5o
60 degrees.
The first angle that is half as large as the other angle is 30º The other angle that is the larger is 60º
The first angle A is twice as large as the second, angle B. The third angle C is 20 degrees larger than B (as B must be the smallest angle). The internal angle sof a triangle add to 180 degrees.A + B + C = 180A = 2BC = B + 20(2B) + B + (B + 20) = 1804B + 20 = 1804B = 160B = 40o.A = 2BA = 2 X 40A = 80o.C = B + 20C = 40 + 20C = 60o.Alternate MethodThe internal angles of all triangles always add up to 180 degrees. Call our triangle angles A,B and C respectivelyA+B+C = 180°All the dimensions of the triangle are described in terms of angle A; the smallest angle.A= A, B = 2A, C = A + 20oSo in terms of A:A +2A + A+20o 180o4A +20o = 180o therefore 4A = 180o - 20o = 160o and therefore A = 160/4 = 40oIf A= 40o and B = 2A and C = A + 20oThenA = 40o, B = 80o, C = 60o