Theorems on Trapezoid

Question

AleckzaTyro

Asked: April 21, 20212021-04-21T05:09:00+00:00 2021-04-21T05:09:00+00:00In: Algebra, High School/Senior Secondary School

The four angles in a right trapezoid have measures of 63 degrees, 90 degrees, 90 degrees and n degrees. What is the value of n?

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acedstud · Answer 1 · 2021-04-21T06:03:29+00:00

acedstud

A trapezoid is a quadrilateral (shape of 4 sides), and hence the sum of the interior angles of a quadrilateral is $360^o$ .

Thus, $63^o+90^o+90^o+n^o=360^o\Rightarrow243^o+n^o=360^o\Rightarrow n^o=360^o-243^o=117^o$ .

Therefore, $n=117$ .

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