Question

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°

Answer 1

use my answers

Answer 2

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°.

Answer 3

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.