Podcast
Questions and Answers
The angles in triangle UVW are (3x - 9)°, 30°, and ______°.
The angles in triangle UVW are (3x - 9)°, 30°, and ______°.
24
To find x, the equation 3x + 45 = ______ is used.
To find x, the equation 3x + 45 = ______ is used.
180
The missing angle next to 110° is the ______ angle, which is 70°.
The missing angle next to 110° is the ______ angle, which is 70°.
supplementary
The second angle next to the 35° angle is ______°.
The second angle next to the 35° angle is ______°.
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No information is provided about the measure of ∠______.
No information is provided about the measure of ∠______.
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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
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Lines p and q are parallel.
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Angle FCB is 35°.
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Angle FCD is 70°.
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Angle BCD is 110°.
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Angle BAC = ?
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Angle ACB and angle BCD are supplementary angles, so angle ACB = 180° - 110° = 70°
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Triangle ABC has side AB, AC, BC.
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Angle ABC = 70°.
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Angle BAC + Angle ACB + Angle ABC =180°
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Angle BAC + 70 ° + 70° =180°
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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.
