The inner angles of a convex quadrangle are 2: 2.5: 9.5: 10. Find a smaller angle.
| June 3, 2021 | education
The sum of the interior angles of a convex 4-gon is 360 °.
Let’s denote by x one part of the angle.
Let’s write these angles: 2x; 2.5x; 9.5x; 10x.
Solve the equation 2x + 2.5x + 9.5x + 10x = 360 °.
24x = 360 °,
x = 15 °.
The smaller angle is written as 2x = 2 * 15 ° = 30 °.
Answer: 30 °.
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