Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are asked to find the measures of arc $BDC$ and arc $BC$ in the given circle diagram. Angle $ABC$...

Circle GeometryArcsExterior Angles

We are asked to find the perimeter of the polygon in the first picture of question 19. We are given ...

PerimeterTangentsPolygonsCircumscribed Circle

We are given a diagram that shows a triangle. We are also given the exterior angle of one of the ver...

TrianglesAnglesInterior AnglesExterior AnglesAngle Sum Property

We need to find the value of the angle $k$ in the given figure. The figure shows a pentagon with som...

AnglesPolygonsPentagonsTrianglesIsosceles TrianglesQuadrilaterals

We need to find the value of angle $k$ in the given figure. The figure consists of a quadrilateral. ...

QuadrilateralTriangleIsosceles TriangleAngle CalculationGeometry Problem Solving

We are given a triangle ABD with angles $14^\circ$ at B, $62^\circ$ at A, and $31^\circ$ at D. We wa...

TrianglesAnglesAngle CalculationReflex Angle

We are given a triangle with an exterior angle of $249^{\circ}$. Two interior angles are $33^{\circ}...

TrianglesAnglesExterior AnglesInterior Angles

We are given a figure that looks like a quadrilateral formed by a triangle and a rectangle. One angl...

QuadrilateralsTrianglesIsosceles TriangleAngle CalculationGeometric Proof

We are given a triangle $ABD$ with angle $A = 62^\circ$, angle $B = 14^\circ$, and angle $D = 31^\ci...

TrianglesAnglesReflex Angles

We are given a diagram of a triangle. The exterior angle at one vertex is $249^\circ$. The interior ...

TrianglesInterior AnglesExterior AnglesAngle Sum Property

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