Q: Two angles of a triangle measure 72 and 46?

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77 degrees

This is a scalene triangle: The sum of the angles of any triangle must be 180 degrees. Subtracting the given angles from 180 leaves 98 degrees for the third angle. Therefore, no two angles of the triangle are equal, and no two sides can be equal.

A right triangle.

The two angles are supplements, because the measures of supplementary angles add up to 180 degrees. 46 + 134 = 180.

Supplementary angles add up to 180 degrees

It is an acute scalene triangle

Third angle would be 46 degree. 180-44-90 =46

There is no such triangle because all 3 angles in any triangle must add up to 180 degrees and no more or no less.

For an isosceles triangle with vertex 46 degrees, the sum of the remaining two base angles is 180-46 = 134 degrees. Base angles are equal because it's isosceles, so each angle is half of their sum. 134/2 = 67 degrees. Thus, any isosceles trapezoid formed inside that isosceles triangle by drawing parallel lines to the triangle's base, will have base angle measures of 67 degrees, which are triangle's base angles.

It would be an acute-angled triangle, but it's missing a degree!

138

Yes

Yes. Triangles can be classified by the measures of their angles asacute, right, or obtuse. An acute angle has a measure that is lessthan 90°. A right-angle measures exactly 90°. An obtuse angle hasa measure that is greater than 90°.

No such triangle can exist. The sum of those angles is 204 degrees, but everybodyknows that the sum of the three interior angles of a triangle is always 180 degrees.

Because it's a right angle triangle use any of the trigonometrical ratios to find the two interior acute angles: tangent = opp/adj, sine = opp/hyp and cosine = adj/hyp The angles are to the nearest degree 46 and 44

46 x 90 degrees = 4140o

No because the 3 interior angles of a triangle must add up to 180 degrees

supplementary

Sure. What's wrong with 1 degree, 1 degree, and 178 degrees ?It's kind of a flat, skinny triangle, but it's a triangle.***A valid point, but the triangle described above is not an acute triangle but an obtuse triangle. In whole numbers, 46 deg, 46 deg and 88 deg or 2 deg, 89 deg, 89 deg are the two most extreme ACUTE triangles.***An equilateral triangle has three 60-degree angles. All three of those are acute.

1 and 49 2 and 48 3 and 47 4 46 5 and 45

YES For a triangle to exist then the sum of any two sides must be greater than the third side. 25 + 46 = 71 > 65 25 + 65 = 90 > 46 46 + 65 = 111 > 25 If the sum of two sides equalled the third side then you would have two straight lines laid on top of each other. If the sum of two sides is less that the third side then it impossible to create three vertices to enable a triangle to be formed.

180 - (46 + 108) = 26 degrees180 - (46 + 108) = 26 degrees180 - (46 + 108) = 26 degrees180 - (46 + 108) = 26 degrees

No, because all three angles need to add to exactly 180 degrees

Sum of Interior Angles = (n-2)180 8280/180 = n-2 46 = n-2 48 = n

No but they are supplementary angles because they add up to 180 degrees