Mathematics: The measure of ZB is (3x -4° and the measure of ZD is (2x-6)°What are the measures of angles B and D? mZB=

#1: a) Q(1,2); R(1,6); S(7,6)b) The point of intersection of PR and QS is (4,4)#2:a) S(3,2)b) T(5,3)c) Area = 8 units^2...

The measure of ZB is (3x -4° and the measure of ZD

Ответ:

soniarosechavez1

27.06.2020

Mathematics

Answer is

Angle B is 70 degrees.

Angle D is 110 degrees.

Step-by-step explanation:

$Given \: shape \: is \: a \: cyclic \: quadrilateral \\ measure \: of \: angle \: B \: is \: 3x - 4 \: degrees \\ measure \: of \: angle \: D \: is \: 2x - 6 \\ we \: know \: that \: sum \: of \: opposite \: angles\: of \: a \ \\ cyclic \: quadrilateral \: is \: 180 \: degrees \\ then \\ 3x - 4 + 2x - 6 = 180 \\ 5x - 10 = 180 \\ adding \: 1 0 \: on \: both \: sides \\ 5x = 190 \\ x = \frac{190}{5} \\ x = 38 \\ given \: angle \: D \: is \: 2x - 6 \\ on \: substituting \: x = 38 \: we \: get \\ = 2(38) - 6 \\ = 76 - 6 \\ = 70 \\ given \: angle \: B \: is \: 3x - 4 \\ on \: substituting \: x = 38 \: we \: get \\ = 3(38) - 4 \\ = 114 - 4 \\ = 110</p<p</p<p$

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The measure of ZB is (3x -4° and the measure of
ZD is (2x-6)°What are the measures of angles B
and D?
mZB=

Ответ:

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