The problem asks us to find the size of angle $g$ in the given circle. The circle is divided into three angles: $g$, $100^\circ$, and $150^\circ$.

GeometryAnglesCirclesAngle Sum Property
2025/5/17

1. Problem Description

The problem asks us to find the size of angle gg in the given circle. The circle is divided into three angles: gg, 100100^\circ, and 150150^\circ.

2. Solution Steps

The sum of the angles around a point (or in a circle) is 360360^\circ. Therefore, we can write the equation:
g+100+150=360g + 100^\circ + 150^\circ = 360^\circ
Now, we can solve for gg:
g=360100150g = 360^\circ - 100^\circ - 150^\circ
g=360250g = 360^\circ - 250^\circ
g=110g = 110^\circ

3. Final Answer

The size of angle gg is 110110^\circ.

Related problems in "Geometry"

We are asked to calculate the volume of a cylinder. The diameter of the circular base is $8$ cm, and...

VolumeCylinderRadiusDiameterPiUnits of Measurement
2025/6/5

The problem asks us to construct an equilateral triangle with a side length of 7 cm using a compass ...

Geometric ConstructionEquilateral TriangleCompass and Straightedge
2025/6/4

The problem asks to construct an equilateral triangle using a pair of compass and a pencil, given a ...

Geometric ConstructionEquilateral TriangleCompass and Straightedge
2025/6/4

The problem asks to find the value of $p$ in a triangle with angles $4p$, $6p$, and $2p$.

TriangleAnglesAngle Sum PropertyLinear Equations
2025/6/4

The angles of a triangle are given as $2p$, $4p$, and $6p$ (in degrees). We need to find the value o...

TrianglesAngle Sum PropertyLinear Equations
2025/6/4

The problem asks to construct an equilateral triangle with sides of length 7 cm using a compass and ...

ConstructionEquilateral TriangleCompass and Straightedge
2025/6/4

We are given two polygons, $P$ and $Q$, on a triangular grid. We need to find all sequences of trans...

TransformationsRotationsReflectionsTranslationsGeometric TransformationsPolygons
2025/6/4

We need to describe the domain of the following two functions geometrically: 27. $f(x, y, z) = \sqrt...

3D GeometryDomainSphereHyperboloidMultivariable Calculus
2025/6/3

We need to find the gradient of the line passing through the points $P(2, -3)$ and $Q(5, 3)$.

Coordinate GeometryGradientSlope of a Line
2025/6/3

The problem presents a diagram with a circle and some angles. Given that $\angle PMQ = 34^\circ$ and...

Circle GeometryAnglesCyclic QuadrilateralsInscribed Angles
2025/6/3