jarethsmith52
Answered

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Quadrilateral ABCD is inscribed in a circle. Angle B measures 19°. What is the measure of angle D?

Quadrilateral ABCD Is Inscribed In A Circle Angle B Measures 19 What Is The Measure Of Angle D class=

Sagot :

MrRoyal

Answer:

[tex]D = 161^o[/tex]

Step-by-step explanation:

Given

[tex]\angle B = 19^o[/tex]

Required

Find D

The label of the quadrilateral are not clear. However, a more complete question illustrates that B and D are opposite sides.

To solve for D, we make use of:

[tex]B + D = 180^o[/tex] ---- opposite [tex]sides[/tex] of a [tex]cyclic \\[/tex] quadrilateral

Make D the subject

[tex]D = 180^o -B[/tex]

[tex]D = 180^o -19^o[/tex]

[tex]D = 161^o[/tex]

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