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Tangents to Circles - Find Angle Measure
Contributed by: Potter

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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