in an isosceles triangle if the base is 55 , then what is the verticle angle of the triangle?
Answers
Answer:
I think the answer is 70°
Step-by-step explanation:
Following the property of the isosceles triangles which states that the two sides of the isosceles triangles are same and so the opposite angles associated with those sides will be equal and the vice-versa is also true.Also, the sum of the interior angles of the triangles will be equal to 180 degrees. Mathematically, x+y+z=180 where, ‘x’, ‘y’ and ‘z’ are the interior angles of the triangle.Here, in the question the two interior angles of the isosceles triangle are 55 degrees each. So, substituting the values in the equation x+y+z=180 to determine the value of the vertical angle. x+y+z=180⇒x+55+55=180⇒x=180−110⇒x=70Hence, the vertical angle of the isosceles triangle is 70 degree
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