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If one angle of a triangle is twice as large as another The measure of the third angle is 20 degrees greater than that of the smallest angle How large are the angles?
Wiki User
∙ 14y ago
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 = 180
A = 2B
C = B + 20
(2B) + B + (B + 20) = 180
4B + 20 = 180
4B = 160
B = 40o.
A = 2B
A = 2 X 40
A = 80o.
C = B + 20
C = 40 + 20
C = 60o.
The internal angles of all triangles always add up to 180 degrees. Call our triangle angles A,B and C respectively
A+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 + 20o
So in terms of A:
A +2A + A+20o 180o
4A +20o = 180o therefore 4A = 180o - 20o = 160o and therefore A = 160/4 = 40o
If A= 40o and B = 2A and C = A + 20o
Then
A = 40o, B = 80o, C = 60o
Wiki User
∙ 14y ago
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How many sides a polygon have with an angle 30?
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What is the name of the triangle that has an angle of 60 degrees and an angle of 70 degrees?
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two (there is no way to divide 180 degrees into three parts that leaves you with two or more angles greater or equal to 90 degrees)
What triangle has an angle greater than 180 degrees?
An obtuse triangle.
How many angles in a triangle can be greater than 90 degrees?
One angle in a triangle can be greater than 90 degrees, but no more than one.
How many sides a polygon have with an angle 30?
Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
Does an isosceles triangle have a angle greater than 90?
It can. An example of an isosceles triangle without any angles greater than 90 would be an equilateral triangle, with all angles equalling 60 degrees. An example with an angle greater than 90 would be a triangle with angles of 100 degrees, 40 degrees and 40 degrees. You couldn't have an isosceles triangle with 2 angles greater than or equal to 90, as all the angles sum to 180 degrees.
What triangle has only has one angle greater then 90 degrees?
Obtuse Triangle
What is the name of a triangle with and angle greater than 90 degrees?
An obtuse triangle.
Can a triangle have one obtuse andgle and two acute angles?
No. If a triangle has an obtuse angle, the other two will be acute.Addition from another contributor: The measurement of all three of a triangle's angles combined is always 180 degrees, and an obtuse angle is by definition greater than 90 degrees and less 180. Thus, any possible combination of two obtuse angles, even of the smallest possible, (if there was such a thing) would still yield a measure greater than 180 degrees.
What is the smallest number greater than 1 that is both triangle and square?
The answer is 36...Triangle = 1,3,6,10,15,21,28,36Square = 1,4,9,16,25,36
What is a triangle with an angle greater than 180 degrees?
There is no such triangle because the 3 angles in any triangle add up to 180 degrees.
