1003023205
Level:
A
Express the degree measure of an angle if its radian measure is \( \frac{5\pi}{12} \).
\( 75^{\circ} \)
\( 105^{\circ} \)
\( 225^{\circ} \)
\( 285^{\circ} \)
A
1003023204
Level:
A
Let \( \alpha=200^{\circ}15' \) and \( \beta= \frac{\pi}5 \). The degree measure of the angle \( \alpha+\beta \) is:
\( 236^{\circ}15' \)
\( -236^{\circ}15' \)
\( 201^{\circ}15' \)
\( -201^{\circ}15' \)
1003023203
Level:
A
Let \( \alpha=4.25\,\mathrm{rad} \) and \( \beta = 135^{\circ}15' \). The degree measure of the angle \(\alpha-\beta\) (rounded to the nearest minute) is:
\( 108^{\circ}15' \)
\( 135^{\circ}18' \)
\( -135^{\circ}18' \)
\( 405^{\circ}48' \)
1003023202
Level:
A
Let \( \alpha= 2.7\,\mathrm{rad} \) and \( \beta =54^{\circ} \). The radian measure of the angle \( \alpha-\beta \) (rounded to two decimal places) is:
\( 1.76\,\mathrm{rad} \)
\( -1.76\,\mathrm{rad} \)
\( 3.65\,\mathrm{rad} \)
\( -3.65\,\mathrm{rad} \)
1003023201
Level:
A
Subtract the angles \( \alpha=1285^{\circ} 35' \), \( \beta= 985^{\circ}59' \) and round the result to the nearest degree.
\( 300^{\circ} \)
\( 299^{\circ} \)
\( 301^{\circ} \)
\( 298^{\circ} \)
1003076807
Level:
A
The sum of all interior angles of an isosceles triangle with a right angle opposite the base is:
\( 180^{\circ} \)
\( 90^{\circ} \)
\( 60^{\circ} \)
\( 30^{\circ} \)
1003076806
Level:
A
Choose the false statement:
In a triangle the side opposite the smallest interior angle is the longest side of a triangle.
The sum of the interior angles of a triangle is \( 180^{\circ} \).
There is at most one obtuse interior angle in a triangle.
In a triangle the sum of any two sides is greater than the third side.
1003076805
Level:
A
If two interior angles of a triangle \( ABC \) have measures of \( 60^{\circ} \), then the triangle \( ABC \) is an/a:
equilateral triangle
isosceles triangle
right-angled triangle
obtuse triangle
1003076804
Level:
A
The measures of two interior angles of a triangle are \( 31^{\circ}20' \) and \( 25^{\circ} \). What is the measure of the third interior angle?
\( 123^{\circ}40' \)
\( 56^{\circ}20' \)
\( 5^{\circ}40' \)
\( 124^{\circ}40' \)
1003076803
Level:
A
Choose the false statement:
There exists a right-angled equilateral triangle.
There exists an acute isosceles triangle.
There exists an acute equilateral triangle.
There exists an obtuse isosceles triangle.