Advertisements
Advertisements
प्रश्न
The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. Find x and y.
Advertisements
उत्तर
Given that x, y and 40° are the angles of a triangle.
∴ x + y + 40° = 180°
Since, the sum of all the angles of a triangle is 180°
⇒ x + y = 140° ......(i)
Also, x – y = 30° ......(ii)
On adding (i) and (ii), we get
2x = 170°
⇒ x = 85°
On putting x = 85° in (i), we get
85° + y = 140°
⇒ y = 55°
Hence, the required values of x and y are 85° and 55°, respectively.
APPEARS IN
संबंधित प्रश्न
Solve the following system of linear equations by using the method of elimination by equating the coefficients: 3x + 4y = 25 ; 5x – 6y = – 9
Solve the following system of linear equations :
2(ax – by) + (a + 4b) = 0
2(bx + ay) + (b – 4a) = 0
Solve the following pair of linear equation by the elimination method and the substitution method:
3x + 4y = 10 and 2x – 2y = 2
Solve the following pair of linear equation by the elimination method and the substitution method.
`x/2 + (2y)/3 = -1 and x - y /3 = 3`
Form the pair of linear equation in the following problem, and find its solution (if they exist) by the elimination method:
If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes `1/2` if we only add 1 to the denominator. What is the fraction?
Two types of boxes A, B are to be placed in a truck having a capacity of 10 tons. When 150 boxes of type A and 100 boxes of type B are loaded in the truck, it weighes 10 tons. But when 260 boxes of type A are loaded in the truck, it can still accommodate 40 boxes of type B, so that it is fully loaded. Find the weight of each type of box.
Out of 1900 km, Vishal travelled some distance by bus and some by aeroplane. The bus travels with an average speed of 60 km/hr and the average speed of the aeroplane is 700 km/hr. It takes 5 hours to complete the journey. Find the distance, Vishal travelled by bus.
The sum of a two-digit number and the number formed by reversing the order of digit is 66. If the two digits differ by 2, find the number. How many such numbers are there?
In an envelope there are some 5 rupee notes and some 10 rupee notes. Total amount of these notes together is 350 rupees. Number of 5 rupee notes are less by 10 than twice number of 10 rupee notes. Then find the number of 5 rupee and 10 rupee notes.
Solve the following simultaneous equation.
x - 2y = -1 ; 2x - y = 7
Solve the following simultaneous equation.
x + y = 11 ; 2x - 3y = 7
Solve the following simultaneous equation.
x − 2y = −2 ; x + 2y = 10
By equating coefficients of variables, solve the following equations.
3x - 4y = 7; 5x + 2y = 3
A fraction becomes `1/3` when 2 is subtracted from the numerator and it becomes `1/2` when 1 is subtracted from the denominator. Find the fraction.
The difference between an angle and its complement is 10° find measure of the larger angle.
Complete the following table to draw the graph of 3x − 2y = 18
| x | 0 | 4 | 2 | −1 |
| y | − 9 | ______ | ______ | ______ |
| (x, y) | (0, −9) | (______, _______) | (______, _______) | ______ |
Difference between two numbers is 3. The sum of three times the bigger number and two times the smaller number is 19. Then find the numbers
Evaluate: (1004)3
Rehana went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Rehana got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 did she received.
