The hinge theorem states that if two triangles have equivalent side lengths but different angles, the triangle with the larger angle is going to have a longer opposing side.

UVT < UTS < STR

That means that VU < US < SR, due to the hinge theorem

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2 years ago

Line WX and line YZ intersect at point V. If angle WVY = 4a + 58 and angle XVY = 2b - 18, find the values of a and b so that lin

amid [387]

we know that

If line WX is perpendicular to line YZ

then

see the attached figure to better understand the problem

m∠WVY=90°--------> 4a+58=90-----> 4a=90-58-----> a=32/4------> a=8°

m∠XVY=90°--------> 2b-18=90----> 2b=90+18------> b=118/2-------> b=59°

therefore

<u>the answer is</u>

a) The value of a is 8 degrees

b) The value of b is 59 degrees

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2 years ago