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:
When I subtracted 11 from twice a number, the result was 15.
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.
Find a number, such that one-fourth of the number is 3 more than 7.
The sum of two numbers is 60 and their difference is 30.
The equation formed is ______.
A number is 7 more than one-third of itself.
The sum of twice a number and 4 is 18.
9 added to twice a number gives 13. Find the number.
One of the two numbers is twice the other. The sum of the numbers is 12. Find the numbers.
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.
The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of the rectangle.
