Answer :
hopefully this helps, x=35 because all angles has of a triangle has to add up to 180
The problem presents angles in a triangle using variable x and constants. Solving the equation finds x = -38°, but since triangle angles cannot be negative, there is likely an error in the provided angle data.
The student's question pertains to the Triangle Sum Theorem, which states that the sum of the interior angles of a triangle is always equal to two right angles, or 180 degrees. Given the expressions for the angles of a triangle as x + 23°, x + 61°, and x + 210, we can find the value of x by setting up the equation:
x + 23° + x + 61° + x + 210 = 180°.
Combining like terms, we get:
3x + 294° = 180°.
Subtracting 294° from both sides, we find:
3x = -114°.
So the value of x is:
x = -114° / 3 which simplifies to x = -38°.
However, angles of a triangle cannot be negative, so there must be a mistake in the data provided because the sum of given angles exceeds 180° even without variable x.
