Geometry - Finding Angles and Values
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Questions and Answers

The angles in triangle UVW are (3x - 9)°, 30°, and ______°.

24

To find x, the equation 3x + 45 = ______ is used.

180

The missing angle next to 110° is the ______ angle, which is 70°.

supplementary

The second angle next to the 35° angle is ______°.

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No information is provided about the measure of ∠______.

<p>BAC</p> Signup and view all the answers

Flashcards

Triangle Angle Sum

The sum of all three angles in any triangle always equals 180 degrees.

Supplementary Angles

Two angles that add up to 180 degrees.

Value of x in Triangle

x = 45° when the angles of triangle are (3x - 9)°, 30°, and 24°

Finding an unknown angle

Identify supplementary or complementary angles to complete the 180° total.

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Angle on a Straight Line

Angles that lie on a straight line add to 180°.

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Study Notes

Finding the Value of X

  • Triangle UVW has angles measuring 30°, 24°, and (3x - 9)°.
  • The sum of the angles in a triangle is 180°.
  • Therefore, 30° + 24° + (3x - 9°) = 180°
  • Simplifying the equation: 54 + 3x - 9 = 180
  • 45 + 3x = 180
  • 3x = 135
  • x = 45

Finding Angle BAC

  • Lines p and q are parallel.

  • Angle FCB is 35°.

  • Angle FCD is 70°.

  • Angle BCD is 110°.

  • Angle BAC = ?

  • Angle ACB and angle BCD are supplementary angles, so angle ACB = 180° - 110° = 70°

  • Triangle ABC has side AB, AC, BC.

  • Angle ABC = 70°.

  • Angle BAC + Angle ACB + Angle ABC =180°

  • Angle BAC + 70 ° + 70° =180°

  • Angle BAC = 40°

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Description

This quiz focuses on solving problems related to angles in triangles and the relationships between them. You will find the value of x in a triangle and solve for unknown angles based on given measurements. Test your understanding of triangle properties and angle relationships.

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