The measure of the following angles are; ∠UXV = 72, ∠TXS = 21, ∠WXV = 108.
What is the acute angle?
An acute angle is defined as the measure of an angle that is less than 90 degrees.
Given;
∠SXW = 72
∠TXU = 87
WE can see that
∠SXW = ∠UXV ( by Vertically opposite angle)
Therefore, ∠UXV = 72
Also, ∠SXW + ∠WXV = 180 ( By linear pair)
72 + x = 180
x = 180 - 72
x = 108
Then,
∠WXV = ∠TXU + ∠TXS ( by Vertically opposite angle)
108 = 87 + ∠TXS
∠TXS = 108 - 87
∠TXS = 21
Hence, ∠UXV = 72, ∠TXS = 21, ∠WXV = 108.
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