Question

one of the two equal angles of an isosceles triangle measures 65 degrees find the measure of each angle of the triangle

Answer 1

here is your answer..
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If the third angle is x, the other two angles are 2x

 

The measure of the angles of a triangle must add up to 180 degrees

 

x + 2(2x) = 180

 

x + 4x = 180

 

5x = 180

 

x = 36

 

The other two angles are 2x = 2 * 36 = 72

 

The three angles are 36, 72, and 72 degrees




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Answer 2

by the properties of Isosceles triangle,
second angle will be 65 degrees
BY the angle sum property of a triangle,
65+65+x=180
x=180-65-65
x=50°
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