Question

in a triangle XYZ, angle X = 2 angle y; 2angle Z=3 angle Y calculate the angles of triangle XYZ​

Answer 1

Step-by-step explanation:

MATHS

In a triangle XYZ,XY=YZ. Then, .............

435230

ANSWER

ΔXYZ is an isosceles triangle. Angles opposite to equal sides of an isosceles triangle are equal.

Thus, if XY=YZ, then ∠Z=∠X.

Answer 2

Answer:

In ∆ XYZ, angle X = 80° , angle Y = 40° & angle Z = 60°

Step-by-step explanation:

In ∆ XYZ,

let angle X be x, angle Y be y and angle Z be

therefore, x=2y -------1

and 2z=3y

z= 3y/2----------2

In ∆ XYZ,

x+y+z = 180° [ because, sum of interior angles of a triangle is 180° ]

2y+y + (3y/2) = 180°

3y + (3y/2) = 180°

(6y+3y/2) = 180°. [ by taking LCM ]

6y +3y = 360°

9y = 360°

y=360°/9

y= 40°

angle Y = 40°

x= 2y. [ from equation 1 ]

=2(40°)

x=80°

angle X = 80°

z=3y/2. [ from equation 2 ]

=3(40°)/2

=120°/2

z=60°

angle Z = 60°