Question

plz help me in finding the values of x,y,z

Answer 1

In a traingle sum of all the angles is 180°,

Here, x, 75° and 70° are of 1 triangle(Observe Carefully),

Since they are in 1 triangle we can say that, Their sum is 180°,

=> x + 75° + 70° = 180°,
=> x = 180° - 145°,
=> x = 35°,

Now, We also knew that, Sum of angles, that are adjacent on a line is 180°,

Here Z and 75° are on same line and adjacent,

So, by the statement we can say that there sum is 180°,
=> Z + 75° = 180°,
=> Z = 105°,

Here y, 50° and other unknown angle are also in a same triangle which means their sum is also 180°,

Let the unknown angle be m,
Now from the 2nd statement we can say that,
70° + m = 180°,

=> m = 110°,

We got the m, Now we can find, value of y, From the statement 1 we can write that,
y + m + 50° = 180°, Substituting m and finding value of y,

=> y + 110 °+ 50° = 180,
=> y = 180° - 160°
=> y = 20°,

Therefore the values of x,y and z are 35°, 20° and 105° respectively,

If there is an error please do report and remind me !

Hope you understand, Have a great day !
Thanking you, Bunti 360 !

Answer 2

Hope u like my answer i have solved it with reasons in front of it.