Find the values of x,y,z in the following figure
Answers
Answer:
x = 40, y = 50, z = 80
Step-by-step explanation:
x = 40 degrees because the triangle it is in is an isosceles triangle (two sides are the same) that means the two angles on the two identical sides is the same.
y is because we know x and we know one of the angle of the big triangle so when you take that away from 180 (the total degrees of a triangle is 180) it leaves 100 and because we have another isosceles so y is the same the angle of the big triangle that is still unknown so we divide 100 by 2 this equals 50 so y is 50.
z is 80 because if we have a look at the right small triangle it has 2 known angles, y and the other one. because a triangle has a total degrees of 180 we take the two known angles away from 180 which leaves 80. (180 - 50 - 50)