Geometry Problem 1508: Understanding Triangle Geometry: Isosceles, Equilateral, Quadrilateral, Angular. Difficulty Level: High School.

In the figure shown, with angle B = 60 degrees, angle D = 80 degrees, and AB = BC = AD, calculate the measure of angle BCD.

Geometry Problem 1508: Understanding Triangle Geometry: Isosceles, Equilateral, Quadrilateral, Angular. Difficulty Level: High School

Definitions and Suggestions

  • A triangle is a polygon that has three sides, three vertices, and three angles. Triangles are some of the most basic shapes in geometry and can be found in many different forms.
  • An angle is a figure formed by two rays, or half-lines, that have a common endpoint and extend in different directions.
  • An isosceles triangle is a type of triangle that has two sides of equal length and two angles opposite those sides of equal measure.
  • An equilateral triangle is a type of triangle in which all three sides are of equal length, and all three angles are equal to 60 degrees.
  • A quadrilateral is a four-sided polygon, which is a two-dimensional geometric figure with straight sides.
  • Suggestions:
    The sum of the angles in a triangle is always 180 degrees, which is known as the Triangle Sum Theorem.
  • The sum of the angles in a quadrilateral is always 360 degrees.

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Discover Even More: See Also...

Problem 1509

Geometry Problem 1509: Congruence of Triangles in a Trapezoid and a Square, Measurement. Difficulty Level: High School

Problem 1507

Geometry Problem 1507: Understanding Triangle Geometry: Double Angles, Altitudes, and Measurements. Difficulty Level: High School

Problem 1506

Geometry Problem 1506: Parallel Rays, Angles. Difficulty Level: High School.

Problem 1505

Geometry Problem 1505: Three rays, Angles, Angle Bisector

Problem 1504

Geometry Problem 1504: Squares, Equilateral Triangle, Parallel, Angle

Problem 1503

Triangle, Incircle, Tangent, Congruence, Perpendicular

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