Question

Express the sum of the interior angles of a triangle in terms of X, Y, and Z. Option 1: X + Y + Z Option 2: 180 - X - Y - Z Option 3: 180 + X + Y + Z Option 4: 360 - X - Y - Z

Answer 1

Option 1: X + Y + Z. The sum of the interior angles of a triangle is always 180 degrees. Therefore, in terms of X, Y, Z, it equates to 'X + Y + Z'. This correctly represents the sum of interior angles of a triangle.

Step-by-step explanation:

In mathematics, the sum of the interior angles of a triangle always equals 180 degrees. Therefore, if you have a triangle with angles X, Y, and Z, you can say that the sum of these angles expressed in terms of X, Y, and Z is X + Y + Z.

So, the correct option from the given choices is Option 1: X + Y + Z. The remaining expressions (Options 2, 3, and 4) do not correctly represent the sum of the interior angles of a triangle. Always remember, irrespective of the shape or size of a triangle, the sum of its interior angles will always be 180 degrees, or in this case, X + Y + Z.

Learn more about Interior Angles of a Triangle