To solve for x, we need to use the fact that the sum of the angles in a triangle is 180°.
The right down side angle is given by (2x+15)°, and the left top side angle is given by 67°.
We can set up an equation to represent the sum of these angles:
(2x+15)° + 67° + (third angle) = 180°
To find the third angle, we can subtract the sum of the given angles from 180°:
(2x+15)° + 67° + (third angle) = 180°
(2x+15+67)° + (third angle) = 180°
(2x+82)° + (third angle) = 180°
To isolate the third angle, we can subtract (2x+82)° from both sides of the equation:
(2x+82)° + (third angle) - (2x+82)° = 180° - (2x+82)°
(third angle) = 180° - 2x - 82°
(third angle) = 98° - 2x
Now that we have the expression for the third angle, we can substitute it back into the equation and solve for x:
(2x+15)° + 67° + (98° - 2x) = 180°
2x+15° + 67° + 98° - 2x = 180°
Simplifying the expression:
15° + 67° + 98° = 180°
180° = 180°
This equation is true for any value of x. Therefore, x can be any real number.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Right down side: (2x+15)° Left top side: 67°
3 answers
what is the answer for x bot?
The answer for x is 4.