IDNStudy.com, ang perpektong platform para sa malinaw at eksaktong mga sagot. Makakuha ng mabilis at eksaktong sagot sa iyong mga tanong mula sa aming mga eksperto na laging handang tumulong.

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 :

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
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