Answer:
76.3 degrees
Step-by-step explanation:
We use inverse cosine to find the angle.
arccos(1.9/8) = 76.26 deg
I started this one then got busy with other things.
z and 71 deg form a same side interior pattern
they're supplementary angles
sum to 180 degrees
z + 71 = 180
z = 180 - 71
z = 109 degrees
z and x are alternate angles
their measures are the same
z = 109 deg so x = 109 deg
y and 71 deg form adjacent angles which are supplementary
sum to 180 degrees
y = 180 - 71 = 109 deg
x = 109 deg, y = 109 deg, z = 109 deg
Part b
w and 88 form a supplementary pair
they add to 180 deg
w = 180 - 88 = 92 deg
v and 101 deg are vertical or opposite angles
They are congruent
So v = 101 deg
