Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
In cyclic quadrilateral PQRS
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
In cyclic quadrilateral PQRS, the measures of one pair of opposite angles are
(
2
x
+
10
)
∘
(2x + 10)^{\circ}
(
2
x
+
10
)
∘
and
(
3
x
−
70
)
∘
(3x - 70)^{\circ}
(
3
x
−
70
)
∘
, while the other pair are
(
y
+
15
)
∘
(y + 15)^{\circ}
(
y
+
15
)
∘
and
(
2
y
−
15
)
∘
(2y - 15)^{\circ}
(
2
y
−
15
)
∘
. Calculate the values of
x
x
x
and
y
y
y
.
Related theory
Cyclic Quadrilaterals
Circles
Cyclic quadrilateral properties
Browse the problem library