https://file.aiquickdraw.com/mathbot/file/1726680376990z3n4bspx.jpg

Work out the size of the x in the question

The diagram shows two angles, one labeled as \( 47^\circ \) and another labeled as \( x^\circ \), where both angles share a straight line as one of their sides. There is also a right angle (marked by a square) in between them, meaning that it measures \( 90^\circ \).

To calculate \( x \), we can use the fact that the sum of angles on a straight line is always \( 180^\circ \). The equation is:

\[
47^\circ + 90^\circ + x^\circ = 180^\circ
\]

Now, solving for \( x \):

\[
47 + 90 + x = 180
\]

\[
137 + x = 180
\]

\[
x = 180 - 137
\]

\[
x = 43^\circ
\]

So, the value of \( x \) is \( 43^\circ \).

Would you like more details or have any other questions? Here are some related questions you might find helpful:

1. What is the sum of angles in a triangle?
2. How do we determine angles using alternate or corresponding angles?
3. Can we calculate angles using trigonometry for right-angled triangles?
4. What is the definition of supplementary angles?
5. How does the angle sum property apply to different polygons?

**Tip:** When dealing with geometry problems involving angles, remember that the sum of angles on a straight line is always \( 180^\circ \).

Work out the size of the angle x in the given diagram with a 47° angle and a right angle (90°) sharing a straight line.

Learn how to calculate the angle x given a 47° angle and a right angle on a straight line. This geometry problem covers the angle sum property on a straight line, making it suitable for students in Grades 6-8.

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