1103021708
Level:
A
What is the measure of the angle \( \alpha \)? (See the picture.)
\( 7^{\circ} \)
\( 76^{\circ} \)
\( 83^{\circ} \)
\( 16^{\circ} \)
Positional problems
1103021709
Level:
A
The picture shows an isosceles triangle \( ABC \) with the base \( AB \). Calculate the measure of the angle \( \alpha \).
\( 31^{\circ} \)
\( 62^{\circ} \)
\( 118^{\circ} \)
\( 59^{\circ} \)
1103030210
Level:
A
Let there be two distinct parallel lines \( a \) and \( b \). What do we call the pair of in the picture indicated angles \( \alpha \) and \( \beta \) which are defined by the transversal \( p \)?
Alternate angles
Corresponding angles
Adjacent angles
Vertical angles
2000003206
Level:
A
Find the measure of the angle \(\alpha\), if the line \(a\) is parallel to the line \(b\). See the picture.
\( 53^{\circ}\)
\( 55^{\circ}\)
\( 125^{\circ}\)
\( 72^{\circ}\)
2000003208
Level:
A
In the picture the angle \(\gamma\) is marked. What is the measure of \(\gamma\)?
\( 9^{\circ}\)
\( 58^{\circ}\)
\( 67^{\circ}\)
\( 125^{\circ}\)
2010015002
Level:
A
\( KLMN \) is a square. Determine the degree measure of the angle \( NRS \) if the measure of the angle \( LSR \) is \( 110^{\circ} \).
\( 155^{\circ}\)
\( 120^{\circ} \)
\( 110^{\circ} \)
\( 135^{\circ} \)
2010015209
Level:
A
What is the measure of the angle \( \alpha \)? (See the picture.)
\( 72^{\circ} \)
\(44^{\circ}\)
\(88^{\circ}\)
\(108^{\circ}\)
9000121706
Level:
A
Consider a rectangle \(ABCD\)
with a point \(E\) in the
middle of the side \(CD\). The
measure of the angle \( EAD\)
is \(30^{\circ }\). Find the measure
of the angle \( AEB\).
\(60^{\circ }\)
\(30^{\circ }\)
\(45^{\circ }\)
\(90^{\circ }\)
9000121707
Level:
A
Consider a rectangle \(ABCD\)
and a point \(S\)
which is the intersection of diagonals. The measure of the angle
\( BAS\) is
\(60^{\circ }\). Find the measure
of the angle \( BSC\).
\(120^{\circ }
\)
\(90^{\circ }
\)
\(60^{\circ }
\)
\(30^{\circ }
\)
9000121708
Level:
A
Consider a square \(ABCD\)
and a point \(E\) on
the side \(BC\) such
that the angle \( BAE\)
has measure \(20^{\circ }\).
The point \(F\) is on
the side \(CD\) and the
length of \(AF\) equals
to the length of \(AE\)
(i.e. the triangle \(AEF\) is
isosceles with \(AF\) and
\(AE\) of equal length). Find
the measure of the angle \( AEF\).
\(65^{\circ }\)
\(45^{\circ }\)
\(50^{\circ }\)
\(70^{\circ }\)