Question

The degree measure of three angles of a triangle are x,y and z. If z= x+y/2 , hen find the value of z....pls HELP..

Answer 1

Do you know the sum of all the angles of a triangle is how much??

Answer 2

180

Answer 3

Yes so you have:

x + y + z = 180

Right??

Answer 4

ya but wat does "degree measure" mean???

Answer 5

So find z from here:

z = 180 - (x + y)

Also you are given with:

\[z = \frac{x + y}{2}\]

So:

\[\large \frac{x + y}{2} = 180 - (x+y)\]

Answer 6

Now find (x+y)

Multiply 2 both the sides:

\[\large x+ y = 360 - 2(x + y)\]

\[\large (x+y) + 2(x + y) = 360\]

\[\large 3(x+y) = 360\]

Divide by 3 both the sides:

\[\large x + y = 120\]

Answer 7

So:

\[\large z = \frac{x+y}{2} = \frac{120}{2} = ??\]

Answer 8

60.....thnx

Answer 9

Welcome dear...