Question

In the above figure, if \( y+z = 280 \), what is the degree measure of angle \( x \)? 

• A. 120
• B. 100
• C. 90
• D. 80
• E. 60

Hint:

When working with straight lines and angles, remember that the sum of angles on a straight line is always \( 180^\circ \).

Answer 1

The Correct Option is C

Step 1: Use the properties of angles.
The angles \( y \) and \( z \) form a linear pair, so their sum must be \( 180^\circ \) (since the sum of angles on a straight line is \( 180^\circ \)). \[ y + z = 180^\circ \] We are given that \( y + z = 280^\circ \), so this is incorrect. Thus, the angle \( x \) must be: \[ x = 180^\circ - (y+z) = 180^\circ - 280^\circ = 90^\circ \] So, the correct answer is (C) 90.