an exterior angle of a triangle is 105° and its two interior opposite angles areequal find the angles
Answers
Answered by
1
Answer: The angles of the triangle are 52.5°, 52.5° and 75°.
Step-by-step explanation:
Let the opposite interior angles be x.
x + x = 105° (Exterior angle property of a triangle)
2x = 105
x = 105/2
x = 52.5
Two angles of the triangle = 52.5°
Let the third angle be y.
52.5 + 52.5 + y = 180°(Angle Sum Property)
105 + y = 180
y = 180 - 105
y = 75
Third angle of the triangle = 75°
Please mark as brainliest...
Similar questions
History,
6 months ago
Physics,
1 year ago
Political Science,
1 year ago
English,
1 year ago
Computer Science,
1 year ago