The size of the largest angle of the pentagon will be 150°.
<h3>How to illustrate the information?</h3>
A pentagon is the polygon that has five sides. It should be noted that the interior angle of a regular pentagon is 540°.
The given ratio is 2:3:4:4:5. Therefore, the size of the largest angle of the pentagon will be:
= 5/(2+3+4+4+5) × 540
= 5/18 × 540
= 150°
In this case, the size of the largest angle of the pentagon will be 150°.
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As they are vertical angles, their magnitude would be equal.
x = 3x - 60
3x - x = 60
2x = 60
x= 30
In short, Your Answer would be 30
Hope this helps!
Answer:
(a) 7 essays and 29 multiple questions
(b) Your friend is incorrect
Step-by-step explanation:
Represent multiple choice with M and essay with E.
So:
--- Number of questions
--- Points
Solving (a): Number of question of each type.
Make E the subject of formula in 

Substitute 36 - M for E in 


Collect Like Terms


Divide both sides by -4


Substitute 29 for M in 


Solving (b): Can the multiple questions worth 4 points each?
It is not possible.
See explanation.
If multiple question worth 4 points each, then
would be:

Where x represents the number of points for essay questions.
Substitute 7 for E and 29 for M.


Subtract 116 from both sides



Make x the subject

Since the essay question can not have worth negative points.
Then, it is impossible to have the multiple questions worth 4 points
<em>Your friend is incorrect.</em>
The answer is one in a half