Find the value of a and b in each of the following diagrams.​

a=122

b=115

Step-by-step explanation:

We have a hexagon inscribed of a Circle. Let use some obvious properties to solve some of the angles.

The upper triangle that includes 112 and 30, have a missing angle. We can use triangle interior Theorem to find the missing third angle.

The missing angle is 38.

The upper trapezoid is a cyclic quadrilateral. It 4 vertices touched the circle circumference. This means the opposite angles of the trapezoids are supplementary.

The lower left angle of the upper trapezoid measure is 65. Part of that angle is 38 so the other part is

Angle b forms a linear pair with the lower left angle so

Angle a is also a cyclic quadrilateral so

Angle a and 58 are supplementary

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation: