in a triangle one angle is twice of other and their sum is the third angle .the angles are

Question

in a triangle one angle is twice of other and their sum is the third angle .the angles are

Answer 1

smallest angle --- x

one of the others --- 2x
third angle = x+2x = 3x

thus:
x + 2x + 3x = 180

carry on

Answer 2

assuming you're working in degrees . . .

the three angles sum to 180 degrees

A = 2B
A + B = C
A + B + C = 180

then substitute

Answer 3

Let's assume the angles of the triangle are A, B, and C.

Given that one angle is twice the other, we can set up the equation:

A = 2B (Equation 1)

Also given that their sum is equal to the third angle, we can set up another equation:

A + B = C (Equation 2)

To solve this system of equations, we will substitute Equation 1 into Equation 2:

2B + B = C

Simplifying, we get:

3B = C

Now we can substitute this value of C back into Equation 2:

A + B = 3B

Subtracting B from both sides, we have:

A = 2B

So, the angles in the triangle can be represented as A = 2B, B = B, and C = 3B.

In other words, the angles are A = 2x, B = x, and C = 3x, where x is a positive number representing the measure of the smallest angle.

This means that if one angle is x degrees, then the other angle will be 2x degrees, and the third angle will be 3x degrees.

Answer 4

Let's solve the problem step by step:

Step 1: Begin by assigning variables to the angles in the triangle.
- Let's call the first angle x.
- Since we know that one angle is twice the other, the second angle will be 2x.
- The sum of these two angles is equal to the third angle, so we can say that the third angle is x + 2x.

Step 2: Simplify the equation.
- The sum of the first two angles is 2x + x = 3x.
- So, the equation becomes: 3x = x + 2x.

Step 3: Solve the equation.
- Combine like terms: 3x = 3x.
- Subtract x from both sides of the equation: 3x - x = 3x - x.
- Simplify: 2x = 0.
- Divide both sides of the equation by 2: 2x/2 = 0/2.
- Simplify: x = 0.

Step 4: Substitute the value of x to find all the angles.
- The first angle is x = 0 degrees.
- The second angle is 2x = 2 * 0 = 0 degrees.
- The third angle is x + 2x = 0 + 2(0) = 0 degrees.

Therefore, the three angles in the triangle are all 0 degrees.