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3 years ago

HELPEPEPPDODOEPPDPFPF

Mathematics

2 answers:

Andrei [34K]3 years ago

4 0

Man you gonna need to ask the teacher on dis one

belka [17]3 years ago

4 0

X =12

Step-by-step explanation:

Supplementary Angels means the angles are added up to 180 degrees.

So , <1 + <2 = 180

Given that,

<1 = 2x +6

Now lets find the size of <2.

We know that, 

Angles in a Straight line is also added up to 180 degrees.

So, 

<2+ < 3 = 180

Let's Solve.

 $< 2 + < 3 = 180 \\ < 2 +( 3x - 6) = 180 \\ < 2 = 180 - (3x - 6) \\ < 2 = 180 - 3x + 6 \\ < 2 = 186 - 3x$ 

Now we know the size of <2

lets find out the value of x

 $< 1 + < 2 = 180 \\ 2x + 6 + 186 - 3x = 180 \\ 186 + 6 - 180 = 3x - 2x \\ 12 = x$ 

Let's check whether the answer is correct.

We know that <1 =<3 (Alternative Angles)

$< 1 = < 3 \\ 2x + 6 = 3x - 6 \\ 2 \times 12 + 6 = 3 \times 12 - 6 \\ 24 + 6 = 36 - 6 \\ 30 = 30$

<h3>Answer is Correct !!!</h3>

<h2>Hope this helps you...</h2>

Have a nice day

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Answer:

See explanation

Step-by-step explanation:

Q1-5.

1. Plane parallel to WXT is ZYU.

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5. Segments skew to $\overline {}$ $\overline {VZ}$ are $\overline {WX}$ and $\overline {XT}$ (not lie in the same plane and not parallel)

Q6.

a. $\angle 4$ and $\angle 10$ are the same-side interior angles, transversal k

b. $\angle 8$ and $\angle 11$ are alternate exterior angles, transversal m

c. $\angle 1$ and $\angle 4$ do not form any pair of angles

d. $\angle 2$ and $\angle 12$ are the same-side exterior angles, transversal k

e. $\angle 5$ and $\angle 7$ are corresponding angles, transversal j

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Q7.

$m\angle 1=m\angle 7=131^{\circ}$ (as vertical angle with angle 7)

$m\angle 2=180^{\circ}-131^{\circ}=49^{\circ}$ (as supplementary angle with angle 1)

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$m\angle 4=m\angle 2=49^{\circ}$ (as corresponding angles when parallel lines p and q are cut by transversal r)

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$m\angle 6=m\angle 8=49^{\circ}$ (as corresponding angles when parallel lines p and q are cut by transversal r)

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$m\angle 13=m\angle 15=92^{\circ}$ (as corresponding angles when parallel lines p and q are cut by transversal s)

$m\angle 12=m\angle 10=88^{\circ}$ (as corresponding angles when parallel lines p and q are cut by transversal s)

$m\angle 11=m\angle 9=92^{\circ}$ (as corresponding angles when parallel lines p and q are cut by transversal s)

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