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Triangle angle-sum theorem
what is the value of u?

Triangle angle-sum theorem what is the value of u?-example-1

1 Answer

7 votes

Answer:

u =
{\boxed{\sf{\: 3 \:}}}

Step-by-step Step-by-step explanation:

  • As we know that the sum of interior angles of triangle is 180⁰.

So, according to the question :


\begin{gathered} \qquad{\longrightarrow{\sf{Sum \: of \: all \: angles = {180}^(\circ)}}}\\\\ \qquad{\longrightarrow{\sf{{74}^(\circ) + {52}^(\circ) + 18u = {180}^(\circ)}}}\\\\\qquad{\longrightarrow{\sf{{126}^(\circ) + 18u = {180}^(\circ)}}}\\\\\qquad{\longrightarrow{\sf{18u = {180}^(\circ) - {126}^(\circ)}}}\\\\\qquad{\longrightarrow{\sf{18u = {54}^(\circ)}}}\\\\\qquad{\longrightarrow{\sf{u = (54)/(8)}}}\\\\\qquad{\longrightarrow{\sf{u = {3}^(\circ)}}}\\\\ \qquad\star{\underline{\boxed{\frak{\pink{u = {3}^(\circ)}}}}}\end{gathered}

Hence, the value of u is 3.


\rule{300}{2.5}

User Jens Munk
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