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Given m2ABC = 85, find m2ABD. А D (4x+2) (8x-1)º B

Given M2ABC 85 Find M2ABD А D 4x2 8x1º B class=

Sagot :

Given data:

The measure of the angle ABC is m∠ABC=85 degrees.

The expression for the m∠ABC is,

m∠ABC=m∠ABD+m∠DBC

85°=(4x+2)°+(8x-1)°

85°=12x+1

84°=12x

x=7°

The measure of the ∠ABD is,

m∠ABD=(4x+2)°

Substitute 7 for x in the above expression.

m∠ABD=(4(7)+2)°

=30°

Thus, the mmeasure of the ∠ABD is 30°

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