Answer:
a.) 80°
Step-by-step explanation:
Let's start with triangle VZY.
In angle V, you notice how two lines intersect there. and you notice the outer angle is 132°.
Imagine angle V is on a straight line of 180°, no triangles, just the line. Now you see there is a line that intersects the 180°, and on one side of the line is 132° but you need to solve for the missing side. You do this by setting up an equation of 132 + x =180 and then you will get your missing angle of 48°.
Now focus on the whole VZY triangle. You have 2 out of 3 angles (52° and 48°) and you need to solve for the last angle, Z.
You know a triangle adds up to 180°, so set up an equation like the one we did before and solve:
48+52+x= 180
100+x=180
x=80
A good rule of thumb is that whenever two lines intersect each other like they do at angle z, is that the opposite angles of each other are congruent to each other.
So where angle Z equals 80° on the first triangle, angle Z on the second triangle equals the same.
