Q. If a parallelogram has one angle measuring 60 degrees, what are the measures of the other three angles?
A.
60, 120, 60
B.
60, 120, 120
C.
60, 60, 120
D.
120, 120, 60
Solution
In a parallelogram, opposite angles are equal and adjacent angles are supplementary. Thus, if one angle is 60 degrees, the opposite angle is also 60 degrees, and the adjacent angles are 120 degrees.
Q. If a parallelogram has one angle measuring 60°, what are the measures of the other three angles?
A.
60°, 120°, 60°, 120°
B.
60°, 60°, 60°, 60°
C.
120°, 60°, 120°, 60°
D.
90°, 90°, 90°, 90°
Solution
In a parallelogram, opposite angles are equal and adjacent angles are supplementary. Thus, if one angle is 60°, the opposite angle is also 60°, and the adjacent angles are 120°.
Q. If the diagonals of a rhombus are 10 cm and 24 cm, what is the area of the rhombus?
A.
120 cm²
B.
60 cm²
C.
80 cm²
D.
100 cm²
Solution
The area of a rhombus can be calculated using the formula: Area = 1/2 × d1 × d2, where d1 and d2 are the lengths of the diagonals. Therefore, Area = 1/2 × 10 cm × 24 cm = 120 cm².
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 triangle ABC, if AB = AC and angle A = 40°, what is the measure of angle B?
A.
40°
B.
70°
C.
80°
D.
60°
Solution
In an isosceles triangle, the base angles are equal. Therefore, angle B = angle C. Since the sum of angles in a triangle is 180°, we have 40° + 2B = 180°, leading to B = 70°.
