Math Problem Statement
Pada gambar dibawah, besar sudut yang bertolak belakang dengan ∠TOQ adalah?
Solution
The problem asks for the angle that is opposite (or "bertolak belakang") to ∠TOQ based on the provided diagram.
Analysis:
- The diagram shows several lines intersecting at point .
- The angle ∠TOQ is indicated between the lines and , and is labeled as .
- There is another angle near point labeled as .
- Since the two angles form a straight line (linear pair), they must sum to .
Step-by-step solution:
- Since and form a linear pair: Solving this gives:
- The problem asks for the angle opposite (bertolak belakang) to ∠TOQ. Since ∠TOQ is , its opposite angle (which is vertically opposite) is also .
Thus, the correct answer is:
Would you like further clarification or more details?
Related questions:
- What is a linear pair of angles and how do they relate to straight angles?
- How do vertically opposite angles work in intersecting lines?
- How can we calculate unknown angles in geometric diagrams using algebra?
- Can you explain the difference between complementary and supplementary angles?
- How would the diagram change if the angle were instead ?
Tip: Vertically opposite angles are always equal when two lines intersect.
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Math Problem Analysis
Mathematical Concepts
Geometry
Linear Pair of Angles
Vertically Opposite Angles
Formulas
Sum of angles on a straight line = 180°
Vertically opposite angles are equal
Theorems
Linear Pair Theorem
Vertically Opposite Angle Theorem
Suitable Grade Level
Grades 8-10