The measures of two angles of a triangle are in the ratio 3 : 7. If the sum of these two measures is equal to the measure of the third angle, then find the smallest angle.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 27°.
Given that
The measures of two angles of a triangle are in the ratio 3 : 7
Let the third angle be X
According to the question
X = 3x + 7x = 10x
As we know, the sum of angles of a triangle = 180º
⇒ 3x + 7x + 10x = 180º
⇒ 20x = 180º
⇒ x = 9º
Hence, the smallest angle is 3x = 3 × 9º = 27º