If the ratio of the measurement of the four angles of a quadrilateral is 1: 2: 3: 4, then the measurement of its smallest angle is-Choices:- 120° 36° 100° 20°
Question
If the ratio of the measurement of the four angles of a quadrilateral is 1: 2: 3: 4, then the measurement of its smallest angle is-
Choices:
- 120°
- 36°
- 100°
- 20°
Solution
The sum of the angles in a quadrilateral is 360 degrees.
Given the ratio of the angles is 1:2:3:4, we can add these ratios together to get a total of 1+2+3+4 = 10 parts.
Since the total degrees in a quadrilateral is 360, each part in this ratio is equal to 360/10 = 36 degrees.
Therefore, the smallest angle, which corresponds to 1 part in the ratio, is 1*36 = 36 degrees.
So, the correct answer is 36°.
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