To determine the measures of the angles created by two intersecting lines, we can use the properties of vertical angles and the fact that adjacent angles on a straight line are supplementary (they sum up to 180 degrees).
Since angle R is given as 61 degrees, the adjacent angle S would be:
Angle S = 180° - Angle R = 180° - 61° = 119°.
Now, angle S (119°) and angle R (61°) are vertical angles to the other two angles formed by the intersection of the lines. Therefore, the remaining two angles are also:
- Angle Q (adjacent to angle S) would be 61° (as it is vertically opposite to angle R).
- Angle T (adjacent to angle R) would be 119° (as it is vertically opposite to angle S).
In summary:
- Angle R = 61°
- Angle S = 119°
- Angle Q = 61°
- Angle T = 119°
Therefore, if you have some blank angles, and one of them is the adjacent angle to 61° (which would be 119°), the measures you can select from your options are:
- 61°
- 119°
So the measure of the blank angle could either be 119° or 61° depending on which blank you are referring to. If you are looking to fill in for one of the blank angles that is adjacent to 61°, the correct response would be 119°.