Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We have a circle with an inscribed angle $x$ that subtends an arc. The intercepted arc's measure on...
CirclesInscribed AnglesArcsAngle Measurement
2025/3/28
We are given a circle with an inscribed angle. One intercepted arc has a measure of $120^\circ$. We ...
CirclesInscribed Angle TheoremAnglesArcsSupplementary Angles
2025/3/28
We are given a circle with center P. An angle $x$ is formed at the center, and the intercepted arc h...
CirclesAnglesCentral AngleArc Measure
2025/3/28
We are given a circle with center P. An angle $x$ at the center P and an inscribed angle of $148^\ci...
CirclesAnglesInscribed AnglesCentral Angles
2025/3/28
The problem asks to find the value of the missing angle $x$ in a circle. The central angle correspon...
AnglesCircleCentral Angle
2025/3/28
We are given a circle with an inscribed angle $x$. The intercepted arc by this angle has a measure o...
Inscribed AngleCircleArc Measure
2025/3/28
We are given a circle with chords $EI$ and $FG$ intersecting inside the circle. We are given the mea...
Circle GeometryInscribed AnglesArcsChords
2025/3/28
We are given a circle with an inscribed angle $x$ and an exterior angle of $76^\circ$. We need to fi...
CirclesAnglesInscribed AngleExterior AngleArcs
2025/3/28
We are given a cyclic quadrilateral QRST inscribed in a circle. We are given that $\angle Q = 95^\ci...
Cyclic QuadrilateralAnglesSupplementary AnglesCircle Geometry
2025/3/28
The problem asks us to find the missing angles $m$ and $n$ in a cyclic quadrilateral $ABCD$ inscribe...
Cyclic QuadrilateralAnglesGeometrySupplementary AnglesCircles
2025/3/28