Question

On a piece of paper, use a protractor to construct a triangle with angle measures of 100° and 30°.

Which statements about this triangle are true?

Select all correct answers.


The third angle measures 50°.

The third angle measures 130°.

Two sides have the same length.

All sides have different lengths.

The third angle measures 90°.

Answer 1

For the triangle, the following statements are correct: The third angle measures 50° and all sides have different lengths.

What is a triangle?

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangle.

Let x represent the third angle. The other angles measures of 100° and 30°. Hence:

x + 100 + 30 = 180° (sum of angles in a triangle)

x = 50°

Since the angles are different, hence all the sides have different lengths.

The third angle measures 50° and all sides have different lengths.

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