11,522 views
0 votes
0 votes
Is this right y = 39 z = 102 x =51

Is this right y = 39 z = 102 x =51-example-1
User Gedalya
by
2.7k points

1 Answer

10 votes
10 votes

The first triangle is an Isosceles triangle:

2 equal sides

2 equal angles ( opposite to the sides)

The sum of all interior angles of a triangle is 180°

So, for the left triangle:

51+x+x2 = 180

x+x2 = 180-51

x+x2 = 129

Since both angles are equal:

129/2 = 64.5°

x= 64.5°

x+y = 90°

64.5 + y = 90

y= 90-64.5

y= 25.5°

Right triangle:

25.5+25.5 +z = 180

z= 180-25.5-25.5

z= 129°

User Nyima
by
3.0k points