The Angle HCA is equal to 52°. This is arrived at using the knowledge of the Total value of Angles in a Triangle and the Total Value of Angles in a Polygon.
<h3>
What other principles were used to arrive at the answer?</h3>
The other principles of mathematics that were used to arrive at the above answer are:
- Total Angles on a straight line;
- Total Angles on a point; and
- Line segments.
<h3>What are the Steps to the Solution? </h3>
Step 1 - Recall that we have been given Angles AHB and BAH to be 128° and 28° respectively.
We also know that:
- The sum of angles in a triangle is 180°;...................A
- The sum of angles on a straight line is 180°;.........B
- The sum of angles in a polygon is 360°; while.....C
- The total sum of angles at a point is 360°.............D
Since A...therefore:
When ∠AHB (128°) and ∠BAH are taken from 180° we have DBA = ∠28°.
By observation, we can deduce that ∠BDE, ∠CDH, ∠CEH and ∠AEH are all right-angled triangles.
Using the above, we are able to repeat this process of solving for each angle until we have ∠HCA.
To verify that our answer is correct, recall that sum of angles in a polygon is 360°
That means:
∠BDA + ∠DHE + ∠CEH + ∠HCA = 360°
That is, 90+ 128 + 90 + 52 = 360°
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Learn more about Angles in a Triangle at:
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The quotations which support the central idea that brutus thinks caesar is dangerous and needs to be killed before he becomes even more dangerous are:
- A) And to speak truth of Caesar, / I have not known when his affections swayed / More than his reason.”
- D) “And since the quarrel / Will bear no colour for the thing he is”
- E) “And therefore think him as a serpent’s egg / Which, hatched, would as his kind grow mischievous, / And kill him in the shell.”
<h3>Who was Julius Caesar?</h3>
Julius Caesar was a Roman politician who was known for his conspirator against Julius Caesar.
The act 2, scene 1, of the Julius Caesar is given in the problem. In this scene, Brutus paces back and forth in the garden.
In this scene, he thinks Caesar is dangerous and needs to be killed. The quotations provided in option A, D and E suggest the central idea for the same.
Thus, the quotations which support the central idea that Brutus thinks Caesar is dangerous and needs to be killed before he becomes even more dangerous are:
- A) And to speak truth of Caesar, / I have not known when his affections swayed / More than his reason.”
- D) “And since the quarrel / Will bear no colour for the thing he is”
- E) “And therefore think him as a serpent’s egg / Which, hatched, would as his kind grow mischievous, / And kill him in the shell.”
Learn more about the Julius Caesar here;
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Answer: Abstract Algebra, Lie Groups/Algebras, Topology, Complex Analysis and Differential Geometry.
Explanation:
Those are the maths needed
The answer to this question is 22.
