Decide if there is a triangle whose angles have these measures in degrees: 60, 60, 60 90, 90, 45 30, 40, 50 90, 45, 45 120, 30,

Question

LuckyWell [14K]

3 years ago

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Decide if there is a triangle whose angles have these measures in degrees: 60, 60, 60 90, 90, 45 30, 40, 50 90, 45, 45 120, 30,

30
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Mathematics

1 answer:

dangina [55] · Answer 1 · 2022-02-08T17:16:14+03:00

Answer:

A

Step-by-step explanation:

Rule: In a triangle, the sum of the three interior angles always is 180° (degrees).

A. 60, 60, 60. If we sum Angle A + Angle B + Angle C= 180 degrees. Thence, this is a triangle with all three internal angles congruent to each other and are each 60°. This triangle is called equilateral.

B. 90, 90 ,45. If we sum Angle A + Angle B + Angle C= 225 degrees. Thence, this is not possible to draw as a triangle.

C. 30, 40, 50. If we sum Angle A + Angle B + Angle C= 120 degrees. Thence, this is not possible to draw as a triangle.

D. 90, 45, 45. If we sum Angle A + Angle B + Angle C= 180 degrees. Thence, this is a triangle with one angle of 90 degrees ir right angle. That is why we call this a rectangular triangle.

E. 120. 30, 30. If we sum Angle A + Angle B + Angle C= 180 degrees. Thence, this is a triangle.