Math Problem Statement
Solution
The given question is in Marathi, and it asks:
In a triangle, the three angles are in the ratio 1:2:3. What is the measure of the smallest angle?
Solution:
The sum of all angles in any triangle is always . Let's assume the angles are , , and (since they are in the ratio 1:2:3).
So, the equation is:
Thus, the smallest angle is .
Correct Option:
The correct answer is C. 30
Would you like more details on the solution or any further clarifications? Here are 5 related questions for practice:
- If the angles of a triangle are in the ratio 2:3:5, what is the smallest angle?
- What is the largest angle in a triangle with angles in the ratio 1:4:5?
- If one angle of a triangle is and the other two are in the ratio 3:4, what are the other two angles?
- In a right-angled triangle, if one of the angles is , what is the other angle?
- Can a triangle have angles in the ratio 1:1:4?
Tip: Always remember that the sum of interior angles of any triangle is .
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Math Problem Analysis
Mathematical Concepts
Ratio of angles in a triangle
Sum of angles in a triangle
Formulas
Sum of angles in a triangle = 180°
Theorems
Triangle angle sum theorem
Suitable Grade Level
Grade 7-8
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