Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
In quadrilateral
E
F
G
H
EFGH
E
F
G
H
, it is given that
∠
E
=
115
∘
\angle E = 115^\circ
∠
E
=
11
5
∘
,
∠
F
=
65
∘
\angle F = 65^\circ
∠
F
=
6
5
∘
,
∠
G
=
115
∘
\angle G = 115^\circ
∠
G
=
11
5
∘
, and
∠
H
=
65
∘
\angle H = 65^\circ
∠
H
=
6
5
∘
. A diagonal
E
H
EH
E
H
is drawn. a. (i) Show that opposite angles of
E
F
G
H
EFGH
E
F
G
H
are equal and hence prove that
E
F
G
H
EFGH
E
F
G
H
is a parallelogram. b. (ii) Calculate
∠
F
E
H
\angle FEH
∠
F
E
H
.
Browse the problem library