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photoshop1234 [79]
3 years ago
10

In circle K, what is the value of x? x = 30° x = 25° x = 20° x = 15º A triangle inscribed in a circle having one side as diamete

r, center labeled as K and two angles labeled X degrees and seventy-five degrees. The angle with x degrees is on the right side of the diameter. The 75 degree angle is on the left side of the diameter.

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

x = 15°

Step-by-step explanation:

<em><u>The segment is a diameter, So let us assume the part in which there lies the triangle as a semicircle.</u></em>

=> <em>A triangle inscribed in a semi-circle will always have one of its angle equal to 90</em>

=> <em>So the angle (not 75 and x) is 90 degrees.</em>

<em>=> To find the value of x, we'll subtract rest of the angles from 180 degrees (because the interior angles of a triangle add up to 180°)</em>

<em>So,</em>

=> x = 180-90-75

=> x = 15°

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