Question

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Find the value of 𝑥xx if 𝐴=44, 𝐵=8𝑥+53A=44,\ B=8x+53A=44, B=8x+53 and 𝐶=35C=35C=35



𝑥=x=x=

Answer 1

To find the value of \( x \), we can use the information provided about the angles.

You mentioned the following equations:

1. \( A = 44 \)
2. \( B = 8x + 53 \)
3. \( C = 35 \)

Since these angles are likely in a triangle (assuming no other information is given), we can use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is equal to \( 180^\circ \). Thus, we can set up the following equation:

\[
A + B + C = 180
\]

Substituting in the values given:

\[
44 + (8x + 53) + 35 = 180
\]

Now, we can simplify the equation:

\[
44 + 8x + 53 + 35 = 180
\]

Combine the constant terms:

\[
132 + 8x = 180
\]

Now, isolate \( 8x \):

\[
8x = 180 - 132
\]
\[
8x = 48
\]

Now, divide by 8 to solve for \( x \):

\[
x = \frac{48}{8} = 6
\]

Therefore, the value of \( x \) is

\[
\boxed{6}
\]