Find the missing angle in each irregular polygon using the sum of interior angles.

To find the missing angle in each polygon, we use the formula for the sum of interior angles:
Sum = (n - 2) × 180°, where n is the number of sides.

Here is the step-by-step solution for each shape:

(a) Quadrilateral (4 sides)
* Total sum: $(4 - 2) \times 180^\circ = 360^\circ$
* Known angles: $70^\circ + 45^\circ + 88^\circ = 203^\circ$
* Missing angle $x$: $360^\circ - 203^\circ = 157^\circ$

(b) Pentagon (5 sides)
* Total sum: $(5 - 2) \times 180^\circ = 540^\circ$
* Known angles: $84^\circ + 153^\circ + 131^\circ + 105^\circ = 473^\circ$
* Missing angle $x$: $540^\circ - 473^\circ = 67^\circ$

(c) Hexagon (6 sides)
* Total sum: $(6 - 2) \times 180^\circ = 720^\circ$
* Known angles: $120^\circ + 130^\circ + 100^\circ + 135^\circ + 110^\circ = 595^\circ$
* Missing angle $x$: $720^\circ - 595^\circ = 125^\circ$

(d) Pentagon (5 sides)
* Total sum: $(5 - 2) \times 180^\circ = 540^\circ$
* Known angles: The square symbols mean $90^\circ$. So, $90^\circ + 90^\circ + 90^\circ + 143^\circ = 413^\circ$
* Missing angle $x$: $540^\circ - 413^\circ = 127^\circ$

(e) Heptagon (7 sides)
* Total sum: $(7 - 2) \times 180^\circ = 900^\circ$
* Known angles: $96^\circ + 105^\circ + 161^\circ + 123^\circ + 155^\circ + 114^\circ = 754^\circ$
* Missing angle $x$: $900^\circ - 754^\circ = 146^\circ$

(f) Hexagon (6 sides)
* Total sum: $(6 - 2) \times 180^\circ = 720^\circ$
* Known angles: Note the right angle ($90^\circ$) and the reflex angle ($202^\circ$).
Sum: $150^\circ + 90^\circ + 202^\circ + 40^\circ + 127^\circ = 609^\circ$
* Missing angle $x$: $720^\circ - 609^\circ = 111^\circ$

Final Answer:
(a) 157°
(b) 67°
(c) 125°
(d) 127°
(e) 146°
(f) 111°