Question

find angle z in figure:

Answer 1

In triangle 'z',

Two sides are equal to each other, so the two base angles are also equal to each other.

Then the first angle is 30°, so the second angle is also 30°. Then,

30° + 30° + z = 180° [Sum of all the angles of a triangle is 180°]
60° + z = 180°
z = 180° - 60° = 120°

Answer. 'z' is 120°.

Hope it helps !!!

Answer 2

Hey!

Two sides of the triangle are equal to each other , so the angles will also be equal.

1st angle =30°
2nd angle =30°
3rd angle (z)=?

According to ASP of triangle, sum of all the angles is 180°, thus,

30°+30°+z=180
60°+z=180
z=180-60
z= 120°

Thus, third angle or angle 'z' = 120°.

Hope it helps...!!!