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Mathematics
Mathematics
Problem
a. In quadrilateral
E
F
G
H
EFGH
E
F
G
H
, it is given that
∠
E
F
G
=
∠
E
H
G
=
65
∘
\angle EFG = \angle EHG = 65^{\circ}
∠
E
F
G
=
∠
E
H
G
=
6
5
∘
. Prove that
E
F
G
H
EFGH
E
F
G
H
is a cyclic quadrilateral. b. If
∠
F
E
H
=
70
∘
\angle FEH = 70^{\circ}
∠
F
E
H
=
7
0
∘
, find
∠
F
G
H
\angle FGH
∠
F
G
H
. (Give reason for your answer.)
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