Question

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

Answer 1

u =
`{\boxed{\sf{\: 3 \:}}}`⁰

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 3⁰.

`\rule{300}{2.5}`