Answer:
Therefore, we can say that one of the angles would be 2x and the other angle would be 3x. ... Thus, the two angles which are in the ratio of 2:3 and whose sum is 90 degrees is 36 degrees and 54 degrees respectively.
If one angle of triangle is 90° and the other two angles are in ratio 2 : 3 find the angles.
Given angle = 90°
Given ratio = 2 : 3
Let the number be x
= 2x : 3x
Sum of interior angles of a triangle = 180
Now,
90 + 2x + 3x = 180
5x = 180 - 90
5x = 90
x = 90/5
x = 18
So,
2x = 2 × 18 = 36° ans
3x = 3 × 18 = 54° ans
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Answers & Comments
Answer:
Therefore, we can say that one of the angles would be 2x and the other angle would be 3x. ... Thus, the two angles which are in the ratio of 2:3 and whose sum is 90 degrees is 36 degrees and 54 degrees respectively.
Verified answer
If one angle of triangle is 90° and the other two angles are in ratio 2 : 3 find the angles.
Given angle = 90°
Given ratio = 2 : 3
Let the number be x
= 2x : 3x
Sum of interior angles of a triangle = 180
Now,
90 + 2x + 3x = 180
5x = 180 - 90
5x = 90
x = 90/5
x = 18
So,
2x = 2 × 18 = 36° ans
3x = 3 × 18 = 54° ans