Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The problem asks us to find the measure of angle B, $m\angle B$, in a cyclic quadrilateral ABCD. We ...

Cyclic QuadrilateralAnglesSupplementary AnglesAlgebra

We are given a cyclic quadrilateral ABCD inscribed in a circle. We are given that the measure of ang...

GeometryCyclic QuadrilateralAnglesSupplementary AnglesCircle

We are given a circle with an arc $KL$ measuring $111^\circ$. We need to find the measure of angle $...

CirclesTangentsAnglesArcs

We are given a circle with center at the dot. We are given $m\angle BDC = 38^\circ$, and the $m\angl...

CirclesAnglesArcsInscribed Angles

The problem asks to find the measure of arc $DC$ given that the measure of inscribed angle $\angle B...

CirclesArcsInscribed AnglesCentral AnglesAngle Measurement

We are given a circle with center B. Arc $AD$ measures $114^\circ$. We want to find the measure of ...

CirclesAnglesInscribed Angle TheoremArcs

We are asked to find the measure of angle $ABC$ in a circle, given that the measure of arc $AC$ is 5...

Circle GeometryInscribed AngleArcsAngles

The problem provides a circle with center 'a'. The angle $m\angle ABC = 80^\circ$ is given, and we a...

CirclesAnglesInscribed AnglesCentral Angles

We are given a circle with center O and diameter AC. The measure of angle $COB$ is $48^\circ$, and t...

CircleArc LengthAngleRadius

We are given a circle with diameters $WU$ and $SV$. The measure of angle $WXS$ is $75^\circ$ and the...

CirclesArcsAnglesGeometry

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