Question

X, Y, Z are 3 angles of a triangle. If X-Y=15, Y-Z=30, find X, Y ,Z

Answer 1

Answer:

x=80,y=65 and z=35

Step-by-step explanation:

given x,y and z are angles of a triangle

sum of angles in a triangle=180

x+y+z=180 --->(1)

Given x-y=15  

⇒x=15+y    -->(2)

Given y-z=30

⇒z=y-30    -->(3)

Substitute eq(2) and eq(3) in eq(1)

⇒15+y+y+y-30=180

⇒3y-15=180

⇒3y=195

⇒y=65

Substitute y=65 in eq(2)

x=65+15=80

Substitute y=65 in eq(3)

z=65-30=35