Question

click on the measure of angle x
(there is a right angle diagram with one angle labeled 55°, and options 45°, 125°, 55°, etc. on the left side)

Explanation:

Step1: Identify the right angle

The diagram shows a right angle (90°) split into two angles: 55° and \( x \).

Step2: Use angle sum property

In a right angle, the sum of the two angles is 90°. So, \( x + 55^\circ = 90^\circ \).

Step3: Solve for \( x \)

Subtract 55° from 90°: \( x = 90^\circ - 55^\circ = 35^\circ \)? Wait, no, wait—wait, maybe I misread. Wait, no, looking again, maybe the right angle is between the two outer rays, and the middle ray makes 55° with one, so \( x = 90 - 55 = 35 \)? But the options—wait, the options on the left: 45°, 125°, 55°, 35°? Wait, maybe the diagram is a right angle (90°) with one angle 55°, so \( x = 90 - 55 = 35 \). Wait, but let me check again. Wait, the problem says "Click on the measure of angle \( x \)". So the correct measure is 35°? Wait, no, maybe I made a mistake. Wait, maybe the angle is complementary. So 90 - 55 = 35. So the answer should be 35°, but looking at the options on the left, the bottom one? Wait, the user's image has options: 45°, 125°, 55°, 35° (maybe). So the correct measure is 35°, but let's re-express.

Wait, let's do it again. The angle is a right angle (90 degrees) because there's a right angle symbol. So the two angles \( x \) and 55° add up to 90°. So \( x = 90 - 55 = 35 \) degrees. So the measure of angle \( x \) is 35°.

Answer:

35° (assuming the option with 35° is the correct one; if the options are labeled, e.g., D. 35°, then D. 35°)