In an isosceles triangle, the vertical angle is 15° more than each of its base angles. Find all the angles of the triangle
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Let the base angles be x° and x°
Then, vertical angle = (15 + x)°
Therefore,
X + x + 15 + x = 180
=> 3x + 15 = 180
=> 3x = 180 - 15
=> 3x = 165
=> x = 165/3
=> x = 55
So, its base angles are 55° and 55°
And, vertical angle is ( 55 + 15) = 70°
Hope it helps...!!!
Then, vertical angle = (15 + x)°
Therefore,
X + x + 15 + x = 180
=> 3x + 15 = 180
=> 3x = 180 - 15
=> 3x = 165
=> x = 165/3
=> x = 55
So, its base angles are 55° and 55°
And, vertical angle is ( 55 + 15) = 70°
Hope it helps...!!!
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