题目】 求x的角度值 **Chart/Diagram Description:** * **Type:** Geometric figure, specifically a triangle ABC with internal lines and points. * **Main Elements:** * **Points:** A, B, C, D, H. * **Lines:** Lines connect points A to B, A to C, B to C. Point D is inside triangle ABC. Point H is on line segment BC. Lines connect A to D, B to D, C to D, and D to H. * **Angles:** * ∠ABD is labeled as 30°. * The angle adjacent to ∠ABD at point B is labeled as 50°. This implies ∠DBH = 50° or ∠ABC = 30° + 50° = 80°. Based on the position of the angle label, it is ∠DBH = 50°. * ∠DCH is labeled as 30°. * ∠DAH is labeled as x. * ∠DHB is indicated as a right angle (90°) by a square symbol at H. This means DH is perpendicular to BC. * **Relative Position:** D is an interior point. H is on BC, and DH is perpendicular to BC. AD is a line segment. **Extraction Content:** * **Question Stem:** 求x的角度值 * **Geometric Figure Labels and Values:** * Points: A, B, C, D, H * Angles: ∠ABD = 30°, ∠DBH = 50°, ∠DCH = 30°, ∠DAH = x, ∠DHB = 90°

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