Question

Given triangle ghj, the measure of angle g equals 110°, the measure of angle j equals 40°, and the measure of angle h equals 30°. complete the following statements. since angle g is angle, the opposite side, jh, is . the order of the side lengths from longest to shortest is . angle e.

angle c is smaller than angle e.

angle c is larger than angle e.

Answer 1

Within triangle ghj, the longest side is jh, opposite the largest angle g. Following this, gh is longer than gj, making the order from longest to shortest side jh, gh, gj. The comparison between angles e and c is unclear without additional context.

Step-by-step explanation:

In the context of triangle ghj, we are given specific angle measures: angle g is 110°, angle j is 40°, and angle h is 30°. According to the properties of triangles, the measure of the sides opposite these angles will correspond in length with the largest side opposite the largest angle and so on.

Since angle g is the largest angle, it means the opposite side, side jh, is the longest side of the triangle. With angle j being the next largest, side gh will be the next in length. Finally, the smallest angle h has side gj as the shortest. Therefore, the order of the side lengths from longest to shortest is jh, gh, gj.

The last part of the question appears to be truncated and is not clear about angles e and c. But it seems to be referencing the fact that if angle c is smaller than angle e, then the side opposite angle c would be shorter than the side opposite angle e. This follows the general rule that in triangles, larger angles are opposite longer sides.