Question

1. Which of the following triplets can be the angles of a triangle?

(0) 76, 64, 40
(ii) 30°, 70°, 90°
(iii) 56%, 62°, 62

Answer 1

The triplet (0) 76, 64, 40 can form a triangle. The triplet (ii) 30°, 70°, 90° cannot form a triangle. The triplet (iii) 56%, 62°, 62 cannot form a triangle.

Step-by-step explanation:

An important concept in geometry is that the sum of the three angles of a triangle is always 180 degrees. Let's evaluate each triplet of angles:

1. (0) 76, 64, 40: The sum of these angles is 180 degrees, so this triplet can form a triangle.
2. (ii) 30°, 70°, 90°: The sum of these angles is 190 degrees, which is greater than 180. Therefore, this triplet cannot form a triangle.
3. (iii) 56%, 62°, 62: The first angle, 56%, is not a valid angle measure. Angle measures are usually expressed in degrees, so this triplet cannot form a triangle.

Learn more about Triangle angles