Question
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In triangle PQR, ∠P is the largest angle and ∠P = 80 degree. If the ratio of the angle is 4 : 3 : 2, then what will be the smallest angle?
In triangle PQR, ∠P is the largest angle and ∠P = 80 degree. If the ratio of the angle is 4 : 3 : 2, then what will be the smallest angle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Triangle PQR
∠P is the largest angle and ∠P = 80 degrees
Ratio of the angles is 4:3:2
To find: The smallest angle of triangle PQR
Formula:
The sum of the angles of a triangle is 180 degrees.
Solution:
Let the measures of the angles of triangle PQR be 4x, 3x, and 2x, where 4x is the largest angle and 2x is the smallest angle.
According to the question:
4x = 80
x = 20
So 2x = 2 × 20 = 40
Therefore, the smallest angle of triangle PQR is 40 degree.
Last updated on Jun 26, 2025
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