one of the angles of a triangle os 120 degree and other two angles are same , what is the measure of eash equal angle.
Answers
Answered by
1
Answer:
Let other angles be x
120+x+x=180
120+2x=180
2x=60
x=30
Therefore each angle is 30°
Answered by
57
Answer:
30° and 30°
Step-by-step explanation:
Given that the one the angle of the triangle is 120° and other two are same.
Assume that the same angles is "a".
We know that,
Sum of all angles of triangle is 180°.
Means, /_a + /_a + 120° = 180°
→ 2/_a + 120° = 180°
→ 2/_a = 180° - 120°
→ 2/_a = 60°
→ /_a = 60°/2
→ /_a = 30°
Hence, the rest two angles of the traingle are 30° and 30°.
Verification:
Sum of all angles of triangle = 180°
30° + 30° + 120° = 180°
180° = 180°
LHS = RHS
Hence, proved.
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