Respuesta :

sand75

Answer:

D. 76

Step-by-step explanation:

a = 90°

a + b + 14 = 180°

90 + b + 14 = 180°

b = 180 - (90 + 14 )

b = 76°

The measure of ∠ b is 76°.

What is Cyclic Quadrilateral?

A Cyclic Quadrilateral is defined as a quadrilateral that is contained by a circle is referred to as a cyclic quadrilateral. This indicates that a circle connects the quadrilateral's four vertices. Concyclic vertices are referred to as such. Circumcenter and circumradius are terms used to describe the circle's center and radius, respectively.

According to given figure as:

Angle ∠ a = 90°

∠ a + ∠ b + 14° = 180°   ( three angles of triangle)

90 + ∠ b + 14 = 180°

∠ b = 180 - 90 - 14

∠ b = 180 - 104

∠ b = 76°

Hence, the measure of ∠ b is 76°.

Learn more about Cyclic Quadrilateral here:

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