Question

question
in the diagram below, find the value of x and y.
answer attempt 1 out of 2
x =
y =
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Explanation:

Step1: Find the value of x

Since the angle at the center is \(34^{\circ}\), and the angle subtended by the same chord at the circumference is half of the angle at the center. Here, \(x = 34^{\circ}\div2= 17^{\circ}\)

Step2: Find the value of y

We know that in a triangle inscribed in a semicircle (angle subtended by a diameter is a right - angle). So, \(3x + 2y=90^{\circ}\). Substitute \(x = 17^{\circ}\) into the equation:

$$
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Answer:

\(x = 17\), \(y=19.5\)