9th Class
Mathematics
Geometry
Question Bank
Geometry
question_answer
A, B, C and D are four angles at a point so that A+B+C+D=4 right angles, out of these A and B are acute angles while C and D are obtuse angles. Which of the following relations may be true?
1. A+B=C+D
2. A+C=B+D
3. A+D=B+C
A) 2 and 3 only
B) 1 and 3 only
C)1 and 2 only
D)3 only
Correct Answer:
A
Solution :
The following relations may be true (i) \[\angle A+\angle C=\angle B+\angle D\] or (ii) \[\angle A+\angle D=\angle B+\angle C\]