MCQ
The difference between two complementary angles is 400. The angles are:
- A70º, 110º
- B65º, 35º
- C65º, 25º
- D70º, 30º
✓
Answer
- 65º, 25º
Solution:
We know that the sum of two complementary angles is 90o
Let the two angles be x and y
x + y = 90º (1)
We also know that the difference of the angles is 40o
Therefore, x - y = 40º (2)
Combining (1) and (2)
We have
x + y = 90º
x - y = 40º
Solving as simultaneous equations we get
2x = 130º
Hence x = 65º
Substituting this value of x in either one of the equations (1) or (2)
We get y = 25º.
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