The measures of two angles of a triangle are in the ratio 4 : 5. If the sum of these two measures is equal to the measure of the third angle, find the smallest angle.
Let the two angles of the triangle be 4$$\theta$$ and 5$$\theta$$
=> Third angle = 180° - (4$$\theta$$+5$$\theta$$) = 180° - 9$$\theta$$
Acc to ques :
=> 4$$\theta$$ + 5$$\theta$$ = 180° - 9$$\theta$$
=> 18$$\theta$$ = 180°
=> $$\theta$$ = 10°
=> Smallest angle = 4$$\theta$$
= 4*10 = 40°
Create a FREE account and get:
