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 what is the answers?

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.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

22 dimes and 9 nickels

step-by-step explanation: