Q. If one angle of a triangle is 90 degrees and the other two angles are equal, what are the measures of the other two angles?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
75 degrees
Solution
In a triangle, the sum of the angles is 180 degrees. If one angle is 90 degrees, the remaining two angles must sum to 90 degrees. Since they are equal, each must be 45 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.
