Math Problem Statement

Diamater EB sejajar dengan DC. AB sejajar dengan DE. Besar sudut ∠AEB dan ∠ABE membentuk rasio 4:5. Besar dari sudut ∠BCD adalah …

Solution

This image seems to contain a geometric problem related to circles and angles, specifically involving a cyclic quadrilateral (a quadrilateral inscribed in a circle). The diagram shows some points labeled A, B, C, D, E, and the problem asks to find the size of angle ∠BCD\angle BCD, based on the given conditions:

  • The diameter EBEB is parallel to DCDC.
  • ABAB is parallel to DEDE.
  • The ratio of angles ∠AEB\angle AEB to ∠ABE\angle ABE is 4:5.

The geometric relationships here suggest that we need to apply properties of cyclic quadrilaterals and parallel lines to find the missing angle.

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Math Problem Analysis

Mathematical Concepts

Cyclic Quadrilaterals
Parallel Lines
Angle Ratios

Formulas

Angle in a cyclic quadrilateral
Angle sum property of parallel lines

Theorems

Cyclic Quadrilateral Theorem
Parallel Lines Theorem

Suitable Grade Level

Grades 9-12

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