One angle of the triangle is 3 times a second angle ad third angle is 20…
2023
One angle of the triangle is 3 times a second angle ad third angle is 20 degree more than the second angle. Then the second angle is ?
- A.
12 degree
- B.
35 degree
- C.
32 degree
- D.
25 degree
Attempted by 5 students.
Show answer & explanation
Correct answer: C
Let the second angle be x degrees.
First angle = 3x degrees.
Third angle = x + 20 degrees.
Sum of angles in a triangle = 180 degrees, so:
3x + x + (x + 20) = 180
5x + 20 = 180
5x = 160 ⇒ x = 32
Answer: 32 degree
Check: First = 96°, Second = 32°, Third = 52°. Sum = 96 + 32 + 52 = 180°.