Answer:
(17)
Sum of interior angles of a quadrilateral is 360°
- 110° + 130° + x + x - 3° = 360°
- 2x = 360° - 237°
- 2x = 123°
- x = 61.5°
(18)
Sum of interior angles of a hexagon is 180°*(6 - 2) = 720°
- 2*90° + 2x + 2(x + 22°) = 720°
- 90° + x + x + 22° = 360°
- 2x = 360° - 112°
- 2x = 248°
- x = 124°
(19)
Interior angles of a given pentagon are all marked as congruent, so the exterior angles are congruent too.
Sum of exterior angles is 360°.
Answer: 31.5
Concept:
When encounter questions that ask for operation on algebraic expressions, using BODMAS or PEMDAS method would be easier. Since this question asked for using BODMAS, then it is:
- Bracket
- Order
- Division
- Multiplication
- Addition
- Subtraction
Solve:
<u>Given</u>
2 × 3 + 45 ÷ 2 - 6 + 9
<u>Simplify by division</u>
=2 × 3 + 22.5 - 6 + 9
<u>Simplify by multiplication</u>
=6 + 22.5 - 6 + 9
<u>Simplify by addition</u>
=28.5 + 9 - 6
=37.5 - 6
<u>Simplify by subtraction</u>
=31.5
Hope this helps!! :)
Please let me know if you have any questions