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Ira Lisetskai [31]
3 years ago
15

Given m||n, find the value of x.

Mathematics
1 answer:
USPshnik [31]3 years ago
3 0

Answer:

57 degrees

Step-by-step explanation:

Same side interior angles are supplementary which means they both equal 180 degrees.

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Triangle ABC
Stolb23 [73]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's solve for value of values of x and y ~

According to Angle sum property of triangles :

\qquad \sf  \dashrightarrow \: 70 \degree + 58\degree + x = 180\degree

\qquad \sf  \dashrightarrow \: x\degree + 128\degree = 180\degree

\qquad \sf  \dashrightarrow \:x =  180\degree - 128\degree

\qquad \sf  \dashrightarrow \: x = 52\degree

Now, solve for y ~

\qquad \sf  \dashrightarrow \: 70\degree + 49\degree + y = 180\degree

\qquad \sf  \dashrightarrow \:  y + 119 = 180\degree

\qquad \sf  \dashrightarrow \:  y =  180  -  119\degree

\qquad \sf  \dashrightarrow \:  y = 61 \degree

Now, by the results we got, we can conclude that :

The two triangles are not similar because 70 + 58 + x = 180 means x = 52° and 70 + 49 + y=180 means y = 61°

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Step-by-step explanation:

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