the two acute angles have a sum of 90. If the ratio is 4:1, then there are five units to split. Divide the 90 degrees by 5.
90/5 = 18
18 * 4 = 72
So the larger angle has a measure of 72 degrees and the smaller angle is 18 degrees.
The question is contradictory as complimentary angles are defined as having a sum of 90 degrees.
the larger angle is 60 and the smaller angle is 30.complimentary angles are 2 angles forming 90 degrees.
Each interior angle of a regular pentagon is 108 degrees ie all five of them are larger than a right angle. If the pentagon is convex, at least four of the angles must be greater than 90 degrees.
Although a triangle must have at least two acute interior angles, a square has four interior right angles and no acute angles. And as regular polygons have increasing numbers of sides, their interior angles get larger.
middle angle= 51 degrees smallest angle= 25 degrees largest angle= 104 degrees x=25 ; y=104 I can't really show you how I got the answer but I suggest you draw a picture and then it's much easier to figure out. We don't need a figure to compute the measure of the angles, since we know that the sum of the measure of angles in a triangle is 180 degrees. Let x be the smallest angle, so the middle angle is 1 + 2x, and the larger angle is 53 + 1 + 2x or 54 + 2x. Then we have: x + (1 + 2x) + (54 + 2x) = 180 5x + 55 = 180 5x + 55 - 55 = 180 - 55 5x = 125 5x ÷ 5 = 125 ÷ 5 x = 25 1 + 2x = 1 + 2(25) = 51 54 + 2x = 54 + 2(25) = 104
It is: 72 degrees
The smaller of the other two angles can have any value between (but not including) 66 to 78 degrees. The larger of the three will be 156 degrees minus the above angle.
They are smaller - 60 degrees.
It can be an obtuse triangle which includes 2 acute angles and the 3 angles add up to 180 degrees
An equilateral triangle, which has 3 angles of 60o.
130 and 50 degrees.
The two acute angles total 90 degrees. If the larger angle is 4 times the smaller angle, then the smaller angle is 18 degrees and the larger angle is 72 degrees (4 x 18 degrees).
Since they add up to 90, the smaller angle is 90(1/5) =18 degrees, and the larger angle is 90(4/5)=72 degrees.
138
Amongst polygonal shapes, only an acute triangle can have all its angles less than 90 degrees. Any other polygon must have one or more right or obtuse angles.
No, but there is one rule that you can always follow for triangles, and that is all the angles in a triangle add up to 180 degrees --- So an angle can be larger than 90 degrees as long as all three angles add up to 180 degrees..
75.353 degrees (rounded)