Question
Download Solution PDFThe angles of a triangle are in the ratio 2 ∶ 3 ∶ 7. What is the measure of the largest angle of the triangle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The angles of a triangle are in the ratio 2 ∶ 3 ∶ 7
Concept used:
The sum of all angle in triangle = 180°
Calculation:
Let the first angle = 2x
The second angle = 3x
The third angle = 7x
Now,
⇒ 2x + 3x + 7x = 180°
⇒ 12x = 180°
⇒ x = 15°
The largest angle = 7x = 7 × 15 = 105°
∴ The correct answer is 105°.
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