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PLS PLS PLS HELP IM BEGGING 20 POINTS

Quadrilateral ABCD is inscribed in circle O.

What is m
Enter your answer in the box.

B 2x

A X+5

D 3x-5

PLS PLS PLS HELP IM BEGGING 20 POINTS Quadrilateral ABCD is inscribed in circle O What is m Enter your answer in the box B 2x A X5 D 3x5 class=


Answer :

dashataran

Answer:

The given quadrilateral ABCD is cyclic quadrilateral.

So, the opposite angles B and D, and A and C are supplementary.

[tex]\therefore\ \angle\text{B}+\angle\text{D}=180\\\text{or, }2x+3x-5=180\\\text{or, }5x-5=180\\\text{or, }5x=185\\\text{or, }x=37[/tex]

[tex]\therefore\ \angle\text{A}=x+5=37+5=42[/tex]

[tex]\angle\text{B}=2x=2\times37=74\\\\\angle\text{D}=3x-5=3(37)-5=106[/tex]