In an isosceles triangle, the base angles are equal. The vertex angle is thrice either base angles. What are the angles of the triangle?
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Answer:
The angles are 36*, 36* and 108*.
Step-by-step explanation:
Let the base angles be 'x',
Total sum of angles = 180*
base angles = x and x
The vertex angle = 3x
Angles = x+x+3x = 180*
=> 2x+3x = 180*
=> 5x = 180*
=> x = 180/5 = 36*
Now simply substitute the values of x with 36*
=> base angle [x] = 36*
=> other base angle [x] = 36*
=> The vertex angle = 3x = 3*36= 108*
The angles ae 36* , 36* and 108*.
Hope this helps :)
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