Use the diagram below to answer questions 23 What is the val

Use the diagram below to answer questions 2-3. What is the value of a? 34 56 68 146 What is the value of b? 28 34 56 112

Solution

2.

a= ?
a is arc subteneded by the angle above
We also know that angle subtended at center = 2 times of angle subtended at the same 2 points by a point on the circle

therefore, angle subtended at center = 2*34 = 68

So, a = 68 deg

3.

Again, applying the same concept :

angle subtended by a point on the circle at same 2 points is half of angle subtended by 2 points from the center

So, 56 is angle subtended by 2 points at center. half of that will be the measure of b

So, b = 56/2 = 28