the measure of one angle in a triangle 2x degrees , the second angle is 3x+10 degrees , and the third angle is 4x- 19 degrees. Find the value of x and the measures of all of all three angles. (please list just the numerical values with a space in between. No commas. No variables)

Answer 1

To find the value of x, we can set up an equation by using the fact that the sum of the three angles in a triangle is 180 degrees.

So we have:

2x + (3x + 10) + (4x - 19) = 180

Combine like terms:

9x - 9 = 180

Add 9 to both sides:

9x = 189

Divide by 9:

x = 21

Now we can substitute x = 21 into the expressions for each angle to find their measures:

Angle 1: 2x = 2 * 21 = 42 degrees
Angle 2: 3x + 10 = 3 * 21 + 10 = 73 degrees
Angle 3: 4x - 19 = 4 * 21 - 19 = 85 degrees

So the value of x is 21, and the measures of the three angles are 42 degrees, 73 degrees, and 85 degrees.

Answer 2

the measure of one angle in a triangle 8c+10 degrees, the second angle is 3c - 20 degrees, and the third angle is 5c +30 degrees. Find the value of c and the measures of all of all three angles. (please list just the numerical values with a space in between. No commas. No variables)

Answer 3

To find the value of c, we can set up an equation by using the fact that the sum of the three angles in a triangle is 180 degrees.

So we have:

(8c + 10) + (3c - 20) + (5c + 30) = 180

Combine like terms:

16c + 20 = 180

Subtract 20 from both sides:

16c = 160

Divide by 16:

c = 10

Now we can substitute c = 10 into the expressions for each angle to find their measures:

Angle 1: 8c + 10 = 8 * 10 + 10 = 90 degrees
Angle 2: 3c - 20 = 3 * 10 - 20 = 10 degrees
Angle 3: 5c + 30 = 5 * 10 + 30 = 80 degrees

So the value of c is 10, and the measures of the three angles are 90 degrees, 10 degrees, and 80 degrees.