Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
In triangle $ABC$, we are given $AB=18$, $AC=12$, and $BC=15$. Point $D$ lies on $AB$ such that $BD=...
TriangleAreaSimilarityHeron's FormulaQuadrilateral
2025/6/23
The problem asks to find the value of angle $x$. We are given a triangle with two interior angles, ...
TrianglesAnglesExterior AnglesInterior Angles
2025/6/22
We are given a triangle with one angle labeled as $57^\circ$, and an exterior angle labeled as $116^...
TrianglesAnglesExterior AnglesAngle Sum Property
2025/6/22
We are given a triangle with one interior angle of $31^{\circ}$. The exterior angle at one vertex is...
TrianglesAnglesInterior AnglesExterior AnglesAngle Sum Property
2025/6/22
The problem asks us to find the size of angle $f$. We are given that the angle vertically opposite t...
AnglesVertical AnglesAngle Calculation
2025/6/22
The problem asks us to find the values of angles $a$ and $b$ in a triangle, given that one exterior ...
TrianglesAnglesInterior AnglesExterior AnglesAngle Sum Property
2025/6/22
We need to find the size of angle $k$ in the given diagram. The diagram shows a quadrilateral with t...
QuadrilateralsAnglesIsosceles Triangle
2025/6/22
We need to find the size of the reflex angle $BCD$ in the given triangle $ABD$. The angles at $A$, $...
TrianglesAnglesReflex AngleAngle Sum Property
2025/6/22
We are given a triangle ABD with angle $D = 42^\circ$, angle $A = 51^\circ$, and angle $B = 15^\circ...
TrianglesAngle CalculationReflex Angle
2025/6/22
The problem asks us to find the size of angle $a$ in a quadrilateral. The other three angles in the ...
QuadrilateralAnglesGeometric Shapes
2025/6/22