To solve for x, we can use the fact that the sum of the angles in a triangle is always 180°.
The angle measures given in the figure are M = 48°, N = 42°, and O = 222°.
Let's set up an equation to represent this:
48° + 42° + x = 180°
Combine the known angle measures:
90° + x = 180°
Subtract 90° from both sides:
x = 90°
Therefore, x = 90°.
The measures of the angles of a triangle are shown in the figure
below. Solve for x.
M. x = 48°
N. x = 42°
O. x = 222°
3 answers
use my answers
Let's use your answers to check which one is correct:
M. x = 48°: The sum of the angles would be 48° + 42° + x = 48° + 42° + 48° = 138°, which is less than 180°.
N. x = 42°: The sum of the angles would be 48° + 42° + 42° = 132°, which is less than 180°.
O. x = 222°: The sum of the angles would be 48° + 42° + 222° = 312°, which is greater than 180°.
Since the sum of the angles must be 180° in a triangle, none of the values provided match this criteria. It seems that there was an error in determining the angles of the triangle based on the given measures.
M. x = 48°: The sum of the angles would be 48° + 42° + x = 48° + 42° + 48° = 138°, which is less than 180°.
N. x = 42°: The sum of the angles would be 48° + 42° + 42° = 132°, which is less than 180°.
O. x = 222°: The sum of the angles would be 48° + 42° + 222° = 312°, which is greater than 180°.
Since the sum of the angles must be 180° in a triangle, none of the values provided match this criteria. It seems that there was an error in determining the angles of the triangle based on the given measures.