Q. In a pair of parallel lines cut by a transversal, if one of the interior angles is 120 degrees, what is the measure of the corresponding exterior angle?
A.
60 degrees
B.
120 degrees
C.
180 degrees
D.
90 degrees
Solution
The corresponding exterior angle is supplementary to the interior angle. Therefore, it measures 180 - 120 = 60 degrees.
Q. In a pair of parallel lines cut by a transversal, if one of the interior angles is 55 degrees, what is the measure of the corresponding exterior angle?
A.
125 degrees
B.
55 degrees
C.
180 degrees
D.
90 degrees
Solution
The corresponding exterior angle is supplementary to the interior angle. Thus, it measures 180 - 55 = 125 degrees.
Q. In a pair of parallel lines cut by a transversal, if one of the interior angles is 120°, what is the measure of the other interior angle on the same side of the transversal?
A.
60°
B.
120°
C.
180°
D.
90°
Solution
The two interior angles on the same side of the transversal are supplementary, so the other angle is 180° - 120° = 60°.
Q. In a pair of parallel lines cut by a transversal, if one of the same-side interior angles is 75 degrees, what is the measure of the other same-side interior angle?
A.
75 degrees
B.
105 degrees
C.
90 degrees
D.
180 degrees
Solution
Same-side interior angles are supplementary when two parallel lines are cut by a transversal. Therefore, the other angle measures 180 - 75 = 105 degrees.
Q. In a parallelogram, if one angle measures 70 degrees, what are the measures of the other three angles?
A.
70, 110, 70 degrees
B.
70, 70, 110 degrees
C.
110, 70, 110 degrees
D.
90, 90, 90 degrees
Solution
In a parallelogram, opposite angles are equal and adjacent angles are supplementary. Therefore, if one angle is 70 degrees, the opposite angle is also 70 degrees, and the adjacent angles are 110 degrees each.
Q. In a rhombus, if one angle measures 120 degrees, what are the measures of the other three angles?
A.
120, 60, 120
B.
60, 120, 60
C.
120, 120, 60
D.
60, 60, 120
Solution
In a rhombus, opposite angles are equal and adjacent angles are supplementary. Thus, if one angle is 120 degrees, the opposite angle is also 120 degrees, and the adjacent angles are 60 degrees.
Q. In a rhombus, if one diagonal measures 10 cm and the other measures 24 cm, what is the area?
A.
120 cm²
B.
240 cm²
C.
60 cm²
D.
100 cm²
Solution
The area of a rhombus can be calculated using the formula (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals. Here, area = (10 cm * 24 cm) / 2 = 120 cm².
Q. In a rhombus, if one diagonal measures 10 cm and the other measures 24 cm, what is the area of the rhombus?
A.
120 cm²
B.
240 cm²
C.
60 cm²
D.
100 cm²
Solution
The area of a rhombus can be calculated using the formula Area = (d1 × d2) / 2, where d1 and d2 are the lengths of the diagonals. Here, Area = (10 cm × 24 cm) / 2 = 120 cm².