if angle S and angle T are complimentry and angle T and angle U are supplementry, then angle U is an ____________ angle. What kind of angle?  

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

==> S and T are complimentary angles.

==> A+T = 90 degrees............(1)

==> T and U are supplementary angles.

==> U + T = 180 degrees............(2)

We will subtract (1) from (2).

==> U-A = 90 degrees.

==> U = 90+A

Then we conclude that U is an angle greater than 90 but less than 180 since A can not be greater than 90 because it is a complement angle for T.

Since U is greater that 90 degrees and less than 180, then U is an OBTUSE angle.

yeauh's profile pic

yeauh | Student, Grade 12 | (Level 2) eNoter

Posted on

if s+t=90 degrees

t=45 degrees

t+u=180

so, 45+u=180

180-45=135

135 degrees= an obtuse angle!!

yay!!

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