Question

the angles of triangle xyz are in the ratio angle X : angle Y :angle Z is equal to 4 : 9 : 5 find the magnitude of each angle

Answer 1

Answer:

Step-by-step explanation:

let the angels are 4x+9x+5x=180°

= 18x=180°

therefore x=180°/18 =10°

4×10°+9×10°+5×10°=180°

Answer 2

angle x = 4a
angle y= 9a
angle z= 5a
according to the formula sum of all the angles of a triangle is 180 degree
angle X + angle Y + angle Z=180
4a+9a+5a = 180
18a=180
a=180/18
a=10 degree

therefore angle X = 4a=4×10=40 degree
angle Y =9a =9×10 =90 degree
angle Z = 5a = 5×10 =50 degree