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pls help i need to solve for X and m b

Pls Help I Need To Solve For X And M B class=

Sagot :

Answer:

x=12. B=52

Step-by-step explanation:

In ∆BCD,

<C=45

<D=7x-1

<B=3x+16[as this diagram is a parellelogram so DE II BC so <CBD=<BDE=3x+16 bcz alternate interior angle]

interior angle of triangle=180 degree

<B+<C+<D=180

3x+16 + 45 + 7x-1 = 180

10x + 60=180

10x =180-60

x=120/10

x=12 degree

m<B =3x+16

=3(12)+16

=36+16

m<B = 52 degree

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