Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
Two parallel lines are intersected by a transversal. One angle is given as $76^\circ$. We need to fi...
Parallel LinesTransversalAnglesSupplementary AnglesGeometric Proof
2025/5/7
The problem asks to find the value of $x$ in the given diagram, where two parallel lines are interse...
Parallel LinesTransversalAnglesAlternate Interior AnglesCorresponding Angles
2025/5/7
We are given a diagram with two parallel lines and a transversal. One angle is labeled as 92 degrees...
Parallel LinesTransversalSupplementary AnglesAngle Calculation
2025/5/7
In circle $Q$, the measure of angle $PQR$ is $42^\circ$, and the length of segment $PQ$ is 15 units....
CirclesArc LengthAnglesRadiansTrigonometry
2025/5/6
The problem asks to find the length of arc $PR$ in a circle $Q$ where the measure of angle $PQR$ is ...
Arc LengthCircleRadiansDegreesTrigonometry
2025/5/6
We are given a circle with tangents $AB$ and $AC$ drawn from point $A$. Point $D$ is on the circle. ...
Circle GeometryTangentsInscribed AnglesAngles in a TriangleAngles in a Quadrilateral
2025/5/6
We are given that $m\angle EFG = 6x^\circ$ and $m\angle D = (2x-4)^\circ$. We need to find the measu...
AnglesQuadrilateralsTangentsCircleSolving Equations
2025/5/6
We are given that $GH$ and $GJ$ are tangents to the circle from point $G$. We have $GH = 5x+3$ and $...
Circle TangentsAlgebraEquation Solving
2025/5/6
We are given a quadrilateral $ABDC$ with angles $\angle B$ and $\angle C$ being right angles. We are...
QuadrilateralsAnglesAngle Sum PropertySolving Equations
2025/5/6
The problem states that the diameter of a circle is 20 cm. We need to find the area of the circle to...
CircleAreaRadiusDiameterPiApproximationUnits
2025/5/6