The angles of a cyclic quadrilateral are in the ratio 1:2:3:4. What is the measure of the smallest angle?
The angles of a cyclic quadrilateral are in the ratio 1:2:3:4. What is the measure of the smallest angle?
यदि एक चक्रीय चतुर्भुज के कोणों का अनुपात 1: 2 : 3 : 4 है, तो सबसे छोटे कोण का माप क्या होगा?
Detailed Solution & Logic
Correct Answer:
$36^\circ$
Solution:
Sum of angles of a quadrilateral = $360^\circ$
Given ratio = $1:2:3:4$
Total parts = $1+2+3+4=10$
Smallest angle:
$= \frac{1}{10} \times 360^\circ$
$= 36^\circ$
Answer: $36^\circ$ ✅
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