Tangents to Circles - Find Angle Measure

Find the angle measure indicated. Assume that lines which appear to be

tangent are tangent.

Use largest triangleX = 180∘ - 90∘ - 43∘ = 47∘
Isosceles triangle - base angles = 43∘
90∘
Tangent to Circles
Answer (round to nearest degree): X =
Tips for solving for angles:•Triangles have 180∘•Quadrilaterals have 360∘•Tangents are perpendicular to radii.•Triangles made with radii are isosceles.
Calculate the value for ?.
∘
90∘

Find the angle measure indicated. Assume that lines which appear to be

tangent are tangent.

138∘
90∘
Tangent to Circles
Answer (round to nearest degree): X =
Tips for solving for angles:•Triangles have 180∘•Quadrilaterals have 360∘•Tangents are perpendicular to radii.•Triangles made with radii are isosceles.
Calculate the value for ?.
∘

Find the angle measure indicated. Assume that lines which appear to be

tangent are tangent.

Find this angle first
Tangent to Circles
Answer (round to nearest degree): X =
Tips for solving for angles:•Triangles have 180∘•Quadrilaterals have 360∘•Tangents are perpendicular to radii.•Triangles made with radii are isosceles.
Calculate the value for ?.
∘

Find the angle measure indicated. Assume that lines which appear to be

tangent are tangent.

Tangent to Circles
Answer (round to nearest degree): X =
Tips for solving for angles:•Triangles have 180∘•Quadrilaterals have 360∘•Tangents are perpendicular to radii.•Triangles made with radii are isosceles.
Calculate the value for ?.
∘

Find the angle measure indicated. Assume that lines which appear to be

tangent are tangent.

Answer (round to nearest degree): X =
Tangent to Circles
Tips for solving for angles:•Triangles have 180∘•Quadrilaterals have 360∘•Tangents are perpendicular to radii.•Triangles made with radii are isosceles.
Calculate the value for ?.
∘

Find the angle measure indicated. Assume that lines which appear to be

tangent are tangent.

Answer (round to nearest degree): X =
Tangent to Circles
Find this angle first
Tips for solving for angles:•Triangles have 180∘•Quadrilaterals have 360∘•Tangents are perpendicular to radii.•Triangles made with radii are isosceles.
Calculate the value for ?.
∘

Find the angle measure indicated. Assume that lines which appear to be

tangent are tangent.

Answer (round to nearest degree): X =
Tangent to Circles
Tips for solving for angles:•Triangles have 180∘•Quadrilaterals have 360∘•Tangents are perpendicular to radii.•Triangles made with radii are isosceles.
Calculate the value for ?.
∘

Find the angle measure indicated. Assume that lines which appear to be

tangent are tangent.

Answer (round to nearest degree): X =
Tangent to Circles
Tips for solving for angles:•Triangles have 180∘•Quadrilaterals have 360∘•Tangents are perpendicular to radii.•Triangles made with radii are isosceles.
Calculate the value for ?.
∘

Find the angle measure indicated. Assume that lines which appear to be

tangent are tangent.

Find this angle first
Answer (round to nearest degree): X =
Tangent to Circles
Tips for solving for angles:•Triangles have 180∘•Quadrilaterals have 360∘•Tangents are perpendicular to radii.•Triangles made with radii are isosceles.
Calculate the value for ?.
∘

Find the angle measure indicated. Assume that lines which appear to be

tangent are tangent.

Answer (round to nearest degree): X =
Tangent to Circles
Tips for solving for angles:•Triangles have 180∘•Quadrilaterals have 360∘•Tangents are perpendicular to radii.•Triangles made with radii are isosceles.
Calculate the value for ?.
∘

Find the angle measure indicated. Assume that lines which appear to be

tangent are tangent.

Find this angle first
Answer (round to nearest degree): X =
Tangent to Circles
Tips for solving for angles:•Triangles have 180∘•Quadrilaterals have 360∘•Tangents are perpendicular to radii.•Triangles made with radii are isosceles.
Calculate the value for ?.
∘
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