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### a) Solving for \( x \) in the angle equation:

- **Given:** Two adjacent angles, \( (x + 35)^\circ \) and \( (2x - 5)^\circ \), form a straight line.
- The sum of angles on a straight line equals \( 180^\circ \).

\[
(x + 35) + (2x - 5) = 180
\]

Combine like terms:

\

Solve for x in the given geometry problems: 
1. Adjacent angles (x + 35)° and (2x - 5)° form a straight line.
2. Vertical angles: one is 138° and the other is (5x + 13)°.
3. Right triangle: one angle is (2x + 3)° and another is x°.

Learn how to solve geometry problems involving straight line angles, vertical angles, and right triangles. This step-by-step guide demonstrates solving for x using linear equations and theorems like the angle sum property, vertical angles, and triangle angle relationships. Ideal for Grades 8-10 students.

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a) Solving for $x$ in the angle equation:

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