Question

Using the diagram, find all the angle measures when the measure of angle XUY=40degrees

Answer 1

XUY = 40 degrees

WUZ = 90 degrees

XUZ = 50 degrees

VUW = 40 degrees

VUY = 140 degrees

I hope this helps :)

Explanation:

WUZ is a right angle, so 90 degrees. YUW is a straight angle, so it is 180 degrees, so WUZ + XUZ + XUY = 180, WUZ is 90 and XUY is 40, so 90 + 40 = 130, 180 - 130 = 50

XUZ is 50 degrees

Since VUW is on the opposite side of XUY, it is the same degrees as it, so VUW is 40 degrees

YUW is 180 degrees, so VUW + VUY = 180, VUW is 40 degrees, so VUY is 180 - 40 = 1400, VUY is 140 degrees

Now we have them all:

XUY = 40 degrees

ZUW = 90 degrees

XUZ = 50 degrees

VUW = 40 degrees

and finally,

VUY = 140 degrees

Reading this whole thing, it sounds sooo weird