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Geometry Challenge
Can you determine the value of each of the missing angles below (a – q), using the Basic Geometry Rules shown below? (Hint: start with angle h)
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a = ____ b = ____ c = ____ d = ____ e = ____ |
f = ____ g = ____ h = ____ i = ____ |
j = ____ k = ____ l = ____ m = ____ |
n = ____ o = ____ p = ____ q = ____ |
Basic Geometry Rules :
- Right angle ⦜ = 90º
- Straight line = 180º (along each side).
- Triangle = 180º (sum of the 3 internal angles).
- Quadrilateral (or 4-sided polygon) = 360º (sum of the 4 internal angles).
- l, II & lll – pairing lines/angles of equal length/angle.
- Vertically opposite angles are equal ⧒
Feedback
There are more than one way of doing these puzzles and may well be more than one answer. Please let me and others know what alternatives you find by commenting below. We also welcome general comments on the subject and any feedback you'd like to give.
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Last month's solutions
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Safety-codes
To open each safe, you must enter their Safety-code in the correct order. The number on each key tells you how many squares to move, and the letters tell you in which direction (U = up, D = down, L = left or R = right). From the following safes’ entry keypads, can you determine which is the first key that must be pressed in the code in order to open each safe?
Solution:
Safe A |
Safe B |
Alphametics
Find the number equivalent for the following alphametic expressions to make the equations true. Each letter is unique with values from 0 to 9. (Note: There may be more than one answer.)
Solutions:
- XYZ + XYZ + XYZ = ZZZ
185 + 185 + 185 = 555 - MATH + ATH + TH + H = 5000
3965 + 965 + 65 + 5 = 5000 - ZERO + ONE + TWO = THREE (given R = 3)
9635 + 546 + 185 = 10366 &
9635 + 586 + 145 = 10366 - TWO + THREE + SEVEN = TWELVE (given V = 5)
106 + 19722 + 82524 = 102352 &
104 + 19722 + 82526 = 102352 - SEVEN + SEVEN + SIX = TWENTY (given I = 5, W = 3 and X = 0)
68782 + 68782 + 650 = 138214
Letter grid
In the following diagram, each of the nine letters stand for a number (1 through 9, without repeats). Using the following clues, can you determine the number that represents each letter A through I?
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Clues:
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