What is the supplement of 105°a)65°b)75°c)85°d)95°...
Supplementary angles sums up to 180°
x + 105° = 180°
x = 180° - 105°
x = 75°
View all questions of this testWhat is the supplement of 105°a)65°b)75°c)85°d)95°...
The answer is b because complement angle = the sum
of two angles must be
What is the supplement of 105°a)65°b)75°c)85°d)95°...
Understanding Supplementary Angles
Supplementary angles are two angles that add up to 180 degrees. To find the supplement of a given angle, you simply subtract that angle from 180 degrees.
Calculating the Supplement of 105°
- Start with the total degrees for supplementary angles: 180°.
- Given angle: 105°.
- Calculation: 180° - 105°.
Performing the Calculation
- Step 1: 180° - 105° = 75°.
Thus, the supplement of 105° is 75°.
Choosing the Correct Answer
- The options provided are:
- a) 65°
- b) 75° (Correct)
- c) 85°
- d) 95°
From our calculation, 75° is indeed the correct supplement for 105°.
Conclusion
- The supplement of 105° is option b) 75°.
- Understanding supplements is crucial in geometry, helping to solve various problems involving angles.
This explanation clarifies how we arrive at the answer, reinforcing the concept of supplementary angles and their calculations.