Question

calculate the angles marked with letters .O is the centre of the circle ​

Answer 1

Answer:

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Answer 2

Measure angle y is 62°.

Step-by-step explanation:

Given:

Label the Diagram Such that

O is the center of a Circle,

AB is the Diameter of a Circle,

∠B = 28°

To Find:

∠A = y = ?

Solution:

AB is the Diameter of a Circle      ..........Given

Diameter of a Circle Subtends a Right Angle,

Therefore,

m∠C = 90°

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

Now in ΔABC,

$\angle A+\angle B+\angle C=180\\\\y+28+90=180\\\therefore y=180-118=62\°$

Therefore,

Measure angle y is 62°.