Question

The angles of a triangle are x, y and
40°. The difference between the two
angles x and y is 30°. The values of x
and y are​

Answer 1

Answer:

85 and 55 respectively are x and y

Answer 2

Answer :

• The value of x and y is 85⁰ and 55⁰

Given :

• The angles of a triangle are x , y and 40⁰
• The difference between the two angles are x and y is 30⁰

To find :

• The values of x and y

Solution :

Given that x , y and 40⁰ is the angles of triangle

As we know that ,

• The sum of all angles of triangle is 180⁰ then ,

⇢ x + y + 40 = 180

⇢ x + y = 180 - 40

⇢ x + y = 140

Hence , x + y = 140 is eq (1)

According To Question Given that , The difference between the two angles are x and y is 30⁰ then,

⇢ x - y = 30

Hence , x - y = 30 is eq (2)

Now Add the equation (1) and (2) we get ,

⇢ x + y = 140 + x - y = 30

⇢ 2x = 170

⇢ x = 170/2

⇢ x = 85⁰

Now putting the value of x = 85⁰ in equation (1) we get,

⇢ x + y = 140

⇢ 85 + y = 140

⇢ y = 140 - 85

⇢ y = 55⁰

Hence , The value of x and y is 85⁰ and 55⁰