Question

one angle of a triangle is 4 times as large as another. the third angle is equal to the sum of the other two angles. what is the measure if the smallest angle (hint: the sum of the measures of the angles of a triangle is 180°)

Answer 1

consider one of the angle be x

and other be 4 x as it is times as large as another

so we know that the sum of the measures of the angles of a triangle is 180°)

x +4x = 180 °

5x =180°

x = 180/5

x=36

so fist angle is 36 ° and other angle is 4 x = 4 × 36 = 144

third angle is equal to the sum of the other two angles

so 36+ 144 = 180°