Question

in triangle abc angle A is 55 degree Angle B = 80 degree name the shortest and the largest size

Answer 1

Here is ur ans....

in this triangle ABC
the opposite side of the largest angle is the greatest side. so, angle cba = 80° is the largest angle and its opposite side is AC which is the largest side.
similarly the smallest angle ACB = 45° and its opposite side AB is the smallest side.

Answer 2

Answer:

The shortest angle is ∠C = 45° and the largest angle is ∠B = 80°

Step-by-step explanation:

Angle Sum property:

• The angle sum property of a triangle states that the sum of all interior angles is equal to 180°.

For the triangle ABC

Given,

Two angles are ∠A = 55° and ∠B = 80°

Let the third angle be ∠C = x

By Angle sum property in a triangle

Sum of all the three internal angles = 180°

                                        ∠A+∠B+∠C = 180°

                                         55 + 80 + x = 180

                                                 135 + x = 180

                                                           x = 180 - 135

                                                           x = 45°

                                                        ∠C = 45°

       The third angle is 45°

      Hence, the shortest angle is ∠C = 45°

         and      the largest angle is ∠B = 80°

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