Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
A chord subtends an angle of at point on the circumference
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
A chord
P
Q
PQ
P
Q
subtends an angle of
38
∘
38^{\circ}
3
8
∘
at point
R
R
R
on the circumference. Point
S
S
S
lies on the circle on the same side of
P
Q
PQ
P
Q
as
R
R
R
. Without detailed calculation, what is the measure of
∠
P
S
Q
\angle PSQ
∠
P
S
Q
? Give the reason for your answer in one sentence.
Related theory
Circles
Circle angle properties
Angle subtended by a chord
Browse the problem library