Advertisements
Advertisements
प्रश्न
Two complementary angles differ by 20°. Find the angles.
Advertisements
उत्तर
Let one of the angles be x, then the other will be x – 20°.
According to the question,
x + (x – 20°) = 90° ...[∵ Sum of complementary angles is 90°]
⇒ x + x – 20° = 90°
⇒ 2x – 20° = 90°
⇒ 2x = 90° + 20° ...[Transposing (– 20°) to RHS]
⇒ 2x = 110°
⇒ `(2x)/2 = 110^circ/2` ...[Dividing both sides by 2]
⇒ x = 55°
Hence, the required angles are 55° and (55 – 20)° i.e. 55° and 35°.
APPEARS IN
संबंधित प्रश्न
Set up equation and solve them to find the unknown number in the following case:
One-fifth of a number minus 4 gives 3.
Set up equation and solve them to find the unknown number in the following case:
Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.
The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. What is the lowest score?
Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?
The sum of two numbers is 60 and their difference is 30.
The equation formed is ______.
The length of a rectangle is two times its breadth. Its perimeter is 60 cm.
- If the breadth of rectangle is x cm, the length of the rectangle is ______.
- Perimeter in terms of x is ______.
- The equation formed is ______.
- The solution of the equation is ______.
In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then
There are ______ 5 rupee coins and ______ 2 rupee coins.
In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively. If the total prize money is ₹ 52,000 then show that:
The number of 1st prizes are ______ and the number of 2nd prizes are ______.
The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 years, find the age of Amit.
Thrice a number decreased by 5 exceeds twice the number by 1. Find the number.
