Step-by-step explanation:
Sum of interior angles of a polygon is given by (n-2)180°
where,n is the number of sides.
Since this polygon has 5sides,
sum of the interior angles = (5-2)180°=540°
x+150°+120°+75°+60°=540°
x°=540°-405° = 135°
<span><span><span>2x</span>+3</span>=<span><span>
[email protected]</span><span>x=6</span></span></span><span><span><span><span>(2)</span><span>(6)</span></span>+3</span>=15</span><span><span>15=</span><span>15</span></span>
<span>A. People who were promised free samples of Penelope's Puffy Popcorn for completing the survey</span>
Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.
<h3>What is the Inscribed Angle Theorem?</h3>
Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).
m∠BAC = 40 degrees.
Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]
Corresponding arc BC = 80 degrees.
Arc AC through point B = 180 degrees [half circle]
Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.
Learn more about the inscribed angle theorem on:
brainly.com/question/3538263
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