Question

The picture is not drawn to scale
A right 90*triangle
A=3x+30
B=1x
X=

Answer 1

Find the value of b if c=126*
B=

Answer 2

To solve for \( x \) in a right triangle, we can use the information provided about angles \( A \) and \( B \).

Since you mentioned that this is a right triangle and the angles given are:

- \( A = 3x + 30^\circ \)
- \( B = x^\circ \)

And knowing that the sum of the angles in any triangle equals \( 180^\circ \), we can set up the equation:

\[
A + B + 90^\circ = 180^\circ
\]

Substituting in the expressions for angles \( A \) and \( B \):

\[
(3x + 30) + x + 90 = 180
\]

Now, combine like terms:

\[
4x + 120 = 180
\]

Next, isolate \( 4x \) by subtracting \( 120 \) from both sides:

\[
4x = 60
\]

Now, divide by \( 4 \):

\[
x = 15
\]

So, the value of \( x \) is \( 15 \).

Answer 3

In a right triangle, the three angles must add up to \( 180^\circ \). If one of the angles, \( C \), is \( 90^\circ \) (which is typical in a right triangle), then the two remaining angles \( A \) and \( B \) would add up to \( 90^\circ \):

\[
A + B = 90^\circ
\]

If you have another angle \( C \) that is \( 126^\circ \), this cannot form a right triangle since the sum of the angles would exceed \( 180^\circ \).

However, if we assume \( C \) is one of the non-right angles and we want to find the other angle, \( B \) in a triangle where \( C = 126^\circ \), we can use the relationship:

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

Given \( C = 126^\circ \):

\[
A + B + 126 = 180
\]

Thus:

\[
A + B = 180 - 126 = 54^\circ
\]

If you can provide the value of angle \( A \), we can find \( B \) by rearranging it as:

\[
B = 54^\circ - A
\]

Please provide the value of \( A \) for further calculations. If \( C \) was meant to be a different angle or if you have a different context in mind, please clarify that as well!