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ad-work [718]
3 years ago
5

two horizontal lines are cut by a transversal. what is the least number of angle measures you need to know in order to find the

measure of every angle? explain your reasoning

Mathematics
1 answer:
jeka943 years ago
8 0

Answer: The answer is only one angle. Explained.

Step-by-step explanation: As given in the question and shown in the attached figure, the lines horizontal lines 'p' and 'q' are cut by the transversal 'r'. We need to determine the least number of angles among the eight angles mentioned in the figure to find the measure of all the angles.

Suppose, the measure of ∠1 is given as x°.

So, ∠2 = 180° - x (linear pair of angles),

∠3 = x (=∠1, vertically opposite angles),

∠4 = 180° - x (=∠2, verticaly opposite angles),

∠1 = ∠5, ∠2 = ∠6, ∠3 = ∠7, ∠4 = ∠8. These are pairs of correspomding angles.

Thus, we need the measure of only one angle to find the measure of all the angles.

Hence explained.  

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Given that,
To determine the simplified solution of the given expression 10c - cd + d³ at c = -6 and d = 2.

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

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