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°

Question

2 months ago

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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

Mathematics

1 answer:

Leona [12.6K] · Answer 1 · 2026-03-09T18:06:52+03:00

Given:

In triangle GHJ, the angles measure ∠G = 110°, ∠J = 40°, and ∠H = 30°.

To find:

The response to finish the provided statements.

Solution:

Based on the relationship between angles and sides in a triangle, the largest angle corresponds to the longest opposite side while the smallest angle corresponds to the shortest side.

We know that ∠G = 110°, ∠J = 40°, and ∠H = 30°.

Here, it is clear that ∠G is greater than both ∠J and ∠H, confirming that it is the largest angle.

Since angle G is the largest, side JH is the longest.

Clearly,

110° > 40° > 30°.

Thus, ∠G > ∠J > ∠H

Following the triangle's side and angle relationship leads to the conclusion:

JH > GH > GJ

The arrangement of side lengths from the longest to the shortest is JH, GH, and GJ.