Positional Problems
2010015209
Level:
A
What is the measure of the angle \( \alpha \)? (See the picture.)
\( 72^{\circ} \)
\(44^{\circ}\)
\(88^{\circ}\)
\(108^{\circ}\)
2010015002
Level:
A
\( KLMN \) is a square. Determine the degree measure of the angle \( NRS \) if the measure of the angle \( LSR \) is \( 110^{\circ} \).
\( 155^{\circ}\)
\( 120^{\circ} \)
\( 110^{\circ} \)
\( 135^{\circ} \)
2000003208
Level:
A
In the picture the angle \(\gamma\) is marked. What is the measure of \(\gamma\)?
\( 9^{\circ}\)
\( 58^{\circ}\)
\( 67^{\circ}\)
\( 125^{\circ}\)
2000003206
Level:
A
Find the measure of the angle \(\alpha\), if the line \(a\) is parallel to the line \(b\). See the picture.
\( 53^{\circ}\)
\( 55^{\circ}\)
\( 125^{\circ}\)
\( 72^{\circ}\)
2000003204
Level:
C
The picture shows a triangle \(ABC\) with a circumscribed circle \(k\) that is centered at \(S\). What is the measure of the angle \(\beta\)?
\( 58^{\circ}\)
\( 32^{\circ}\)
\( 148^{\circ}\)
\( 64^{\circ}\)
1103021709
Level:
A
The picture shows an isosceles triangle \( ABC \) with the base \( AB \). Calculate the measure of the angle \( \alpha \).
\( 31^{\circ} \)
\( 62^{\circ} \)
\( 118^{\circ} \)
\( 59^{\circ} \)
1103021708
Level:
A
What is the measure of the angle \( \alpha \)? (See the picture.)
\( 7^{\circ} \)
\( 76^{\circ} \)
\( 83^{\circ} \)
\( 16^{\circ} \)
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