Question

The degree measure of three angle of a triangle are x ,y and z. If z= x+y/ 2 ,then find the value of z

Answer 1

x+y+z=180(sum of angles of triangle)
x+y=180-z

z=x+y/2
2z=x+y
Since, x+y=180-z,
2z=180-z
2z+z=180
3z=180
z=180/3
z=60

I hope this helps!

Answer 2

Answer:

Value of z = 60°

Explanation:

Given x,y and z are three angles of a triangle.

and

$z = \frac{x+y}{2}$

$2z = x+y$---(1)

We know that,

x+y+z=180°----(2)

/* Angle sum property */

=> 2z+z = 180° /* from (1)*/

=> 3z = 180°

=> z = 180°/3

=> z = 60°

Therefore,

z = 60°

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