Podcast
Questions and Answers
In Figure 6.1, given AB || CD || EF, PQ || RS, ∠RQD = 25°, and ∠CQP = 60°, what is the measure of ∠QRS?
In Figure 6.1, given AB || CD || EF, PQ || RS, ∠RQD = 25°, and ∠CQP = 60°, what is the measure of ∠QRS?
- 145° (correct)
- 110°
- 135°
- 85°
If one angle of a triangle is equal to the sum of the other two angles, what type of triangle is it?
If one angle of a triangle is equal to the sum of the other two angles, what type of triangle is it?
- Equilateral triangle
- Obtuse triangle
- Isosceles triangle
- Right triangle (correct)
An exterior angle of a triangle measures $105°$, and its two interior opposite angles are equal. What is the measure of each of these equal angles?
An exterior angle of a triangle measures $105°$, and its two interior opposite angles are equal. What is the measure of each of these equal angles?
- 72.5°
- 52.5° (correct)
- 37.5°
- 75°
The angles of a triangle are in the ratio 5:3:7. What type of triangle is it?
The angles of a triangle are in the ratio 5:3:7. What type of triangle is it?
One angle of a triangle is $130°$. What is the angle between the bisectors of the other two angles?
One angle of a triangle is $130°$. What is the angle between the bisectors of the other two angles?
Flashcards
Angles and Parallel Lines
Angles and Parallel Lines
In figure, AB || CD || EF and PQ || RS with angles ∠RQD = 25° and ∠CQP = 60°; find ∠QRS.
Triangle Angle Relationship
Triangle Angle Relationship
In this triangle, one angle equals the sum of the other two; identify its type.
Exterior Angle of a Triangle
Exterior Angle of a Triangle
An exterior angle is 105°; two interior opposite angles are equal; find their measure.
Ratio of Triangle Angles
Ratio of Triangle Angles
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Angle Between Angle Bisectors
Angle Between Angle Bisectors
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Study Notes
Exercise 6.1
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Question 1: If lines AB, CD, and EF are parallel, and lines PQ and RS are parallel, and ∠RQD = 25° and ∠CQP = 60°, then ∠QRS = 135°
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Question 2: If one angle of a triangle equals the sum of the other two angles, the triangle is a right triangle.
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Question 3: If an exterior angle of a triangle is 105°, and the two interior opposite angles are equal, each of these equal angles is 72.5°
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Question 4: If the angles of a triangle are in the ratio 5:3:7, the triangle is an obtuse angled triangle.
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Question 5: If one angle of a triangle is 130°, the angle between the angle bisectors of the other two angles can be 65°.
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Question 6: In Figure 6.2, if POQ is a straight line, and the angles are 4x, 40°, and 3x, then x = 25°.
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