Advertisements
Advertisements
Question
If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other.
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
If one angle of a triangle is kept fixed, then the measure of the remaining two angles can’t vary inversely with each other.
E.g. In ΔABC, ∠A + ∠B + ∠C = 180° ...[∵ Sum of all angles of a triangle is 180°]
If ∠A = 50°, then ∠B + ∠C = 180° – 50° = 130°
So, it is not depending on any proportion by applying angle sum properties of a triangle.
APPEARS IN
RELATED QUESTIONS
A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?
In which of the following table x and y vary inversely:
| x | 9 | 24 | 15 | 3 |
| y | 8 | 3 | 4 | 25 |
It x and y vary inversely, fill in the following blank:
| x | 9 | ... | 81 | 243 |
| y | 27 | 9 | ... | 1 |
6 pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only 5 pipes of the same type are used?
A farmer has enough food for 144 ducks for 28 days. If he sells 32 ducks how long will the food last?
A flood relief camp has food stock by which 80 people can be benefited for 60 days. After 10 days 20 more people have joined the camp. Calculate the number of days of food shortage due to the addition of 20 more people?
Which of the following vary inversely with each other?
If d varies directly as t2, then we can write dt2 = k, where k is some constant.
When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.
If x varies inversely as y and y = 60 when x = 1.5. Find x. when y = 4.5.
