Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given a quadrilateral ABCD with the following angle measures: $\angle ABC = 14^{\circ}$, $\an...

QuadrilateralAnglesAngle SumReflex Angle
2025/6/8

The problem asks us to find the size of angle $d$ in the given diagram. The diagram shows a quadrila...

QuadrilateralsAnglesExterior AnglesInterior Angles
2025/6/8

The problem is to find the size of angle DAB in a quadrilateral ABCD. We are given that angle D = $8...

QuadrilateralAnglesGeometric Proof
2025/6/8

The problem asks to find the size of angle $a$ in the given quadrilateral. The other angles in the q...

QuadrilateralsAnglesPolygon Interior Angles
2025/6/8

We are given a triangle $ABD$ with a smaller triangle $DEC$ inside. Triangle $DEC$ is equilateral. A...

TrianglesAnglesEquilateral TriangleAngle Calculation
2025/6/8

We are given a triangle $ABC$ with a smaller equilateral triangle $DEC$ inside it. The angle $BAC$ i...

TrianglesAnglesGeometric ProofsEquilateral Triangle
2025/6/8

The problem states that triangle $DEC$ is an equilateral triangle and angle $BAC$ is $50$ degrees. T...

TrianglesAnglesEquilateral TriangleAngle Sum PropertySupplementary Angles
2025/6/8

The problem describes a triangle ABC with a smaller equilateral triangle DEC inside it. We are given...

TrianglesAnglesGeometric Proofs
2025/6/8

The bunting flags are all isosceles triangles. We are given an isosceles triangle $PQR$ with angle $...

TrianglesIsosceles TriangleAngle CalculationGeometry
2025/6/8

The shaded triangle $DEC$ is an equilateral triangle. The angle $BAC$ is $50^{\circ}$. We want to fi...

TriangleAngleEquilateral TriangleAngle Sum of a Triangle
2025/6/8