Find the measure of interior angle C of hexagon OCEANS in which the

1 answer:

8 0

Answer:

The measure of the interior angle C is $108^{o}$ .

Step-by-step explanation:

Sum of angles in a polygon = (n - 2) x 180

where n is the number of sides of the polygon.

For a hexagon, n = 6. So that;

Sum of angles in a hexagon = (6 - 2) x 180

= 4 x 180

= $720^{o}$

Sum of angles in a hexagon = $720^{o}$

⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = $720^{o}$

15x + 135 = $720^{o}$

15x = $720^{o}$ - 135

15x = 585

x = $\frac{585}{15}$

= $39^{o}$

But,

C = 2x + 30

= 2(39) + 30

= 78 + 30

= $108^{o}$

The measure of the interior angle C is $108^{o}$ .

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When we mark the point and shade the left part of it then we can start applying the inequality expressions.

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Next, if we consider x ≤ ₋1.5, then here x value will range from ₋1.5 to ₋3. where the region is shaded. Hence this expression doesn't satisfy the graph.
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Learn more about "Linear Inequalities" here-

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