We are given a circle divided into three sections with angles $100^\circ$, $140^\circ$, and $g$. We need to find the value of angle $g$.

GeometryCirclesAnglesAngle SumDegree Measurement
2025/6/8

1. Problem Description

We are given a circle divided into three sections with angles 100100^\circ, 140140^\circ, and gg. We need to find the value of angle gg.

2. Solution Steps

The sum of angles in a circle is 360360^\circ.
Therefore, we have the equation:
100+140+g=360100^\circ + 140^\circ + g = 360^\circ
240+g=360240^\circ + g = 360^\circ
g=360240g = 360^\circ - 240^\circ
g=120g = 120^\circ

3. Final Answer

120120^\circ

Related problems in "Geometry"

The problem states that the size of each interior angle of a regular polygon is $135^\circ$. We need...

PolygonsRegular PolygonsInterior AnglesExterior AnglesRotational Symmetry
2025/6/9

Y is 60 km away from X on a bearing of $135^{\circ}$. Z is 80 km away from X on a bearing of $225^{\...

TrigonometryBearingsCosine RuleRight Triangles
2025/6/8

The cross-section of a railway tunnel is shown. The length of the base $AB$ is 100 m, and the radius...

PerimeterArc LengthCircleRadius
2025/6/8

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