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ivanzaharov [21]
2 years ago
12

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

Mathematics
1 answer:
telo118 [61]2 years ago
7 0

Answer:

u = {\boxed{\sf{\: 3 \:}}}⁰

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 = \dfrac{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 3⁰.

\rule{300}{2.5}

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