Question

The picture shows a triangle

Find the value of x if A = 1x + 22 and B = 1x

X =

Answer 1

To find the value of \( x \) in the triangle with angles \( A \) and \( B \) as given:

- \( A = 1x + 22 \)
- \( B = 1x \)

We know that the sum of the angles in a triangle equals \( 180^\circ \). Assuming the third angle \( C \) is not specified, we can express the equation as:

\[
A + B + C = 180^\circ
\]

Since \( C \) is not given, we can express the relationship using just \( A \) and \( B \):

\[
(1x + 22) + (1x) + C = 180
\]

This simplifies to:

\[
2x + 22 + C = 180
\]

Now, unless we have the value of \( C \), we cannot fully solve for \( x \). However, if we assume that \( C \) is also known or defined, we can isolate \( x \):

To express in terms of \( C \):
\[
2x + C = 180 - 22
\]
\[
2x + C = 158
\]
\[
2x = 158 - C
\]
\[
x = \frac{158 - C}{2}
\]

If you have a specific value for \( C \), you can substitute it in to find \( x \).

If \( C \) is also \( 80^\circ \) for example, you can calculate as:
\[
x = \frac{158 - 80}{2}
\]
\[
x = \frac{78}{2}
\]
\[
x = 39
\]

Please provide the value of \( C \) if possible to find the specific answer for \( x \).