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armstrongstang420
02.07.2019 •
Mathematics
What is the value of ∠c in the diagram? a. 40° b. 60° c. 80° d. 90°
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Ответ:
If there is no clear indication such as dashes in the diagram or a statement specifying that it is an equilateral triangle, DO NOT assume that it is an equilateral triangle.
Now let's move on to solving the problem.
STEP-BY-STEP SOLUTION:
First let's establish the following formula:
Angle sum of a triangle = 180°
Therefore:
4x + 2x + 3x = 180°
Using the above equation, we will first make ( x ) the subject and solve accordingly as displayed below:
4x + 2x + 3x = 180°
9x = 180
x = 180 / 9
x = 20°
From this, we will substitue the value of x into the equation for C as displayed below:
C = 3x
C = 3 ( 20 )
C = 60°
Therefore, the answer is:
Option B - 60°
Ответ: