# 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

2
by luiigie

2014-05-12T19:26:11+08:00

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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
2014-05-13T12:03:39+08:00

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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