If the measure of ∠YZX is 25°, what is the measure of ∠XYZ?
50°
75°
130°
310°
75°
To find the measure of ∠XYZ, we need to use the fact that the sum of the interior angles of a triangle is always 180°.
Here's how we can solve it step-by-step:
1. Start with the given information: ∠YZX measures 25°.
2. The sum of ∠YZX and ∠XYZ is equal to 180° (since they form a straight line).
3. Substitute the given value into the equation and solve for ∠XYZ: 25° + ∠XYZ = 180°.
4. Subtract 25° from both sides of the equation: ∠XYZ = 180° - 25°.
5. Simplify the expression: ∠XYZ = 155°.
Therefore, the measure of ∠XYZ is 155°.
To find the measure of ∠XYZ, we can use the fact that the sum of the angles in a triangle is 180°. Since we know that ∠YZX is 25°, we can find ∠XYZ by subtracting 25° from 180°:
∠XYZ = 180° - ∠YZX
∠XYZ = 180° - 25°
∠XYZ = 155°
Therefore, the measure of ∠XYZ is 155°.