Question

estimate the measure of ∠ghi to the nearest 10°.

Explanation:

Step1: Analyze the angle type

The angle ∠GHI is formed by two lines: one horizontal (HI) and one slanting (HG). Visually, it appears to be a right angle or close to a right angle, but let's check the orientation. Wait, actually, looking at the diagram, HI is vertical (since the arrow is down) and HG is a line going to the right and up? Wait, no, the diagram: H is the vertex, HI is a vertical segment (arrow down at I), and HG is a segment going to the right (arrow at G). Wait, maybe I misread. Wait, the angle at H: HI is a vertical line (from H down to I, arrow down), and HG is a horizontal line (from H to G, arrow right). Wait, no, if HI is vertical (down) and HG is horizontal (right), then the angle between them would be 90 degrees? But maybe the diagram is different. Wait, the problem says "estimate the measure of ∠GHI to the nearest 10°". Let's think about the angle between the two lines. If one line is vertical (HI) and the other is horizontal (HG), the angle between them is 90 degrees. But maybe the diagram is such that HG is a line going to the right and slightly up, but the angle between HI (vertical) and HG (horizontal or slightly slanted) – wait, maybe the angle is 90 degrees, but let's confirm. Wait, the standard right angle is 90°, and if we estimate to the nearest 10°, 90° is a multiple of 10, so the estimate would be 90°. Wait, maybe the diagram is a right angle. Let's assume that the angle between HI (vertical) and HG (horizontal) is 90°, so estimating to the nearest 10° gives 90°.

Step2: Confirm the estimation

Since the angle appears to be a right angle (90°), and 90° is already a multiple of 10°, the estimated measure to the nearest 10° is 90°.

Answer:

90°