Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

The diagram represents the design of a triangular-shaped photo frame. Match the segments and angles to the descriptions.

measure of A = 82 degrees
measure of B = 58 degrees

3 answers

To match the segments and angles of the triangular-shaped photo frame to the descriptions, we can designate the angles and segments as follows:

1. Measure of A = 82 degrees
2. Measure of B = 58 degrees

Assuming we have a triangular frame with angles labeled A, B, and C, and the total sum of angles in a triangle is 180 degrees, we can determine the measure of angle C as follows:

Measure of C = 180 degrees - (Measure of A + Measure of B)
= 180 degrees - (82 degrees + 58 degrees)
= 180 degrees - 140 degrees
= 40 degrees

So, the pairs can be completed as:

- Measure of A = 82 degrees
- Measure of B = 58 degrees
- Measure of C = 40 degrees

This should provide you with the correct pairs in the context of angles within a triangular-shaped photo frame.
Which side is the longest and shortest?
In a triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Given the measures of the angles in the triangular photo frame:

- Angle A = 82 degrees
- Angle B = 58 degrees
- Angle C = 40 degrees

We can determine that:

- The largest angle is A (82 degrees), so the side opposite to angle A (let's call it side a) is the longest.
- The smallest angle is C (40 degrees), so the side opposite to angle C (let's call it side c) is the shortest.

Therefore:
- The side opposite angle A (side a) is the longest.
- The side opposite angle C (side c) is the shortest.