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:
Anwar thinks of a number. If he takes away 7 from `5/2` of the number, the result is 23.
The sum of two numbers is 60 and their difference is 30.
The equation formed is ______.
In a test Abha gets twice the marks as that of Palak. Two times Abha's marks and three times Palak's marks make 280.
The equation formed is ______.
The length of a rectangle is two times its breadth. Its perimeter is 60 cm.
The equation formed is ______.
In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then
The equation formed 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.
If 1 is subtracted from a number and the difference is multiplied by `1/2`, the result is 7.
Subramaniam and Naidu donate some money in a Relief Fund. The amount paid by Naidu is ₹ 125 more than that of Subramaniam. If the total money paid by them is ₹ 975, find the amount of money donated by Subramaniam.
Anamika thought of a number. She multiplied it by 2, added 5 to the product and obtained 17 as the result. What is the number she had thought of?
A girl is 28 years younger than her father. The sum of their ages is 50 years. Find the ages of the girl and her father.
