1. **State the problem:** Solve for $x$ in the equation $73 + x - 1 + x = 180$. 2. **Combine like terms:** $$73 - 1 + x + x = 180$$ $$72 + 2x = 180$$ 3. **Isolate the variable term:** Subtract 72 from both sides: $$72 + 2x - 72 = 180 - 72$$ $$\cancel{72} + 2x - \cancel{72} = 108$$ $$2x = 108$$ 4. **Solve for $x$:** Divide both sides by 2: $$\frac{2x}{\cancel{2}} = \frac{108}{\cancel{2}}$$ $$x = 54$$ --- 1. **State the problem:** Solve for $a$ given the triangle angles $2a$, $(a + 10)$, and $44$ degrees. 2. **Use the triangle angle sum rule:** Sum of angles in a triangle is $180$ degrees: $$2a + (a + 10) + 44 = 180$$ 3. **Simplify the equation:** $$2a + a + 10 + 44 = 180$$ $$3a + 54 = 180$$ 4. **Isolate $a$:** Subtract 54 from both sides: $$3a + 54 - 54 = 180 - 54$$ $$3a = 126$$ 5. **Solve for $a$:** Divide both sides by 3: $$\frac{3a}{\cancel{3}} = \frac{126}{\cancel{3}}$$ $$a = 42$$ **Final answers:** - $x = 54$ degrees - $a = 42$ degrees