Math Problem Statement
Solution
Let's solve the given question step by step for each polygon. The goal is to find the missing angle in each part:
(a) Triangle
In any triangle, the sum of the angles is . The given angles are and . Thus:
(b) Quadrilateral
In any quadrilateral, the sum of the angles is . The given angles are , , and a right angle (). Thus:
(c) Pentagon
In any pentagon, the sum of the angles is , where . Thus: All the other angles are each, and the last angle is . Thus:
(d) Triangle
In any triangle, the sum of the angles is . The given angles are and . Thus: (Might want to recheck on the input values -- double-check!)
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Math Problem Analysis
Mathematical Concepts
Geometry
Polygon angle sum
Triangle angle properties
Formulas
Sum of angles in a triangle = 180°
Sum of angles in a polygon = (n-2) × 180°
Theorems
Angle sum property of triangles
Angle sum property of polygons
Suitable Grade Level
Grades 6-8
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