Answered

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One Angle of a triangle is twice the smallest angle and the third angle is 5 more than the second angle if the sum of the measure of the three angles of a triangle is 180 Degrees what are the three angles of the triangle

Sagot :

AnneCidn
Let x be measure the smallest angle
     The other angles will be 2x and x+5


x + 2x + (x+5) = 180

4x + 5 = 180

4x = 175

x = 43.75

Therefore the three angles are 43.75, 87.5, and 48.75
Jomastaridn
We represent first: x as the first angle ; y as the smallest or the second angle and z as the third angle
x = 2y           z = y+ 5          x + y + z = 180
substitute the value of x and z
2y + (y + 5) + y = 180
4y + 5 = 180
4y = 175    - divide both sides by 4
y = 43.75   - then substitue the value of y to get the value of x and z
x = 87.5
z = 48.75
Therefore, the angles are 43.75 , 87.5 and 48.75
 

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