MathDB
Problems
Contests
National and Regional Contests
Ukraine Contests
Random Geometry Problems from Ukrainian Contests
Ukrainian From Tasks to Tasks - geometry
2010.13
2010.13
Part of
Ukrainian From Tasks to Tasks - geometry
Problems
(1)
3 right angles, tangential pentagon (2010 From Tasks to Tasks, p13 Ukr )
Source:
5/2/2021
You can inscribe a circle in the pentagon
A
B
C
D
E
ABCDE
A
BC
D
E
. It is also known that
∠
A
B
C
=
∠
B
A
E
=
∠
C
D
E
=
9
0
o
\angle ABC = \angle BAE = \angle CDE = 90^o
∠
A
BC
=
∠
B
A
E
=
∠
C
D
E
=
9
0
o
. Find the measure of the angle
A
D
B
ADB
A
D
B
.
geometry
pentagon
right angle
tangential