147k views
3 votes
Consider rhombus GHIJ with diagonals IG and HJ. If m∠GJP=38°, find m∠GJI.

a) 76°
b) 52°
c) 38°

User Grisgruis
by
8.2k points

1 Answer

7 votes

Final answer:

To find m∠GJI in rhombus GHIJ, one must recognize that the diagonals of a rhombus bisect opposite angles. Therefore, m∠GJI is double m∠GJP, which is 38°, leading to the answer of 76°.

Step-by-step explanation:

The question asks us to find the measure of an angle within a rhombus, named m∠GJI, given that the measure of an adjacent angle (m∠GJP) is 38°. In a rhombus, the diagonals bisect each pair of opposite angles. Therefore, if m∠GJP = 38°, the angle adjacent to it across diagonal IG (which is m∠GJI) would have to be twice that measure because it is the full angle formed by the diagonals bisecting each other.

This means m∠GJI equals 2 × 38° = 76°.

The answer (a) 76° is the correct choice.

User Anton Putov
by
8.3k points

Related questions

1 answer
4 votes
118k views
asked Mar 16, 2021 173k views
SiddP asked Mar 16, 2021
by SiddP
8.3k points
1 answer
2 votes
173k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories