In this figure, AB || CD and mZ6 = 75" What is mZ3? Enter your answer in the box.

Mathematics

1 answer:

grandymaker [24]3 years ago

8 0

Answer:

105

Step-by-step explanation:

Theorem:

If parallel lines are cut by a transversal, then same-side interior angles are supplementary.

Lines AB and CD are parallel, and angles 3 and 6 are same-side interior angles, so by the theorem above, angles 3 and 6 are supplementary. That means that the sum of their measures is 180 deg.

m<3 + m<6 = 180

m<3 + 75 = 180

Subtract 75 from both sides.

m<3 = 105

Answer: 105 degrees

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What is the value of x in the equation 2(x−3) 9=3(x 1) x? x = −3 x = −1 x = 0 x = 3

Masja [62]

The solution of the linear equation is x = 0.

<h3>What is the linear equation?</h3>

An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.

Linear equations are the equations of degree 1.

The given linear equation is;

$\rm 2(x-3)+ 9=3(x+ 1) +x$

The value of x is determined in the following steps given below. $\rm 2(x-3)+9=3(x+1)+x\\\\2x-6+9=3x+3+x\\\\\ 2x+3=4x+3\\\\3-3=4x-2x\\\\0=2x\\\\x=0$