two angles of a triangle are equal and the third angle is greater than each one of them by 18 degree find the angles
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Given
ABC is an isosceles triangle
angle A =angle B
Angle C = 18+angle A
Angle C = 18+angle B
To find
Angles of triangle ABC
Solution
A+B+C=180°.........(sum of interior anglesof triangle)
A+A+C=180°
2A+C=180°
2A+18+A=180
3A+18=180
3A=162
A=54°
The angles are:
Angle A=54°
Angle B=54°
Angle C=72°
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