Drag and drop the correct angle measures onto the diagram

12 answers
Question:

Drag and drop the correct angle measures onto the diagram

[tex]Drag and drop the correct angle measures onto the diagram[/tex]


Answers

Here you go!

Hope this helps!


[tex]Drag and drop the correct angle measures onto the diagram[/tex]

[tex]m<1=156\°[/tex]

[tex]m<2=24\°[/tex]

[tex]m<3=24\°[/tex]

[tex]m<5=156\°[/tex]

Step-by-step explanation:

Part 1) If line a is parallel to line b

then

[tex]m<1=m<4[/tex] -----> by alternate exterior angles

so

we have

[tex]m<4=156\°[/tex]

therefore

[tex]m<1=156\°[/tex]

Part 2) we know that

[tex]m<1+m<2=180\°[/tex] -----> by supplementary angles

we have

[tex]m<1=156\°[/tex]

substitute

[tex]156\°+m<2=180\°[/tex]

[tex]m<2=180\°-156\°=24\°[/tex]

Part 3) If line a is parallel to line b

then

[tex]m<3=m<2[/tex] -----> by alternate interior angles

so

we have

[tex]m<2=24\°[/tex]

therefore

[tex]m<3=24\°[/tex]

Part 4) If line b is parallel to line c

then

[tex]m<5=m<4[/tex] -----> by corresponding angles

so

we have

[tex]m<4=156\°[/tex]

therefore

[tex]m<5=156\°[/tex]

m∠4=48°  

m<1 = m∠4=48°  

m<2 = 180 - 44 = 132

m<3 = m<2 = 132

m<5 = m∠4=48°  

See below

Step-by-step explanation:

[tex]m \angle \: 1 = m \angle \: 4 \\ (exterior \: alternate \: \angle s) \\ \therefore m \angle \: 1 = \boxed{48 \degree} \\ \\ m \angle \: 2 = 180 \degree - m \angle \: 1 \\ (liner \: pair \: \angle s) \\ \therefore m \angle \: 2 = \boxed{132 \degree} \\ \\ m \angle \: 3 = m \angle \: 2 \\ (interior \: alternate \: \angle s) \\ \therefore m \angle \: 3 = \boxed{132 \degree} \\ \\ m \angle \: 5 = m \angle \: 4 \\ (corresponding \: \angle s) \\ \therefore m \angle \: 5 = \boxed{48 \degree}[/tex]

Step-by-step explanation:

It is given that lines a, b, and c are parallel and m∠4=68°. Then, from the figure,

∠4=∠5=68° (Corresponding angles)

Now, ∠3+∠4=180° (Linear pair)

⇒∠3+68°=180°

⇒∠3=112°

As, ∠2 and ∠3 forms the alternate interior angle pair, thus ∠2=∠3=112°.

And, ∠1+∠2=180° (Linear pair)

⇒∠1+112°=180°

⇒∠1=68°.

Thus, ∠1=68°, ∠2=112°, ∠3=112°,∠4=68°and ∠5=68°.


[tex]In the figure, lines a, b, and c are parallel and m∠4=68° . drag and drop the correct angle measure[/tex]

The measure of ∠1 is 68°, ∠2 is 112°, ∠3 is 112° and ∠5 is 68°.

Step-by-step explanation:

It is given that lines a, b, and c are parallel.

If a transversal line intersect the line parallel line, then corresponding angles are same.

If a transversal line intersect the line parallel line, then alternate exterior angles are same.

[tex]\angle 1=\angle 4=68^{\circ}[/tex]               ( Alternate exterior angles)

[tex]\angle 1+\angle 2=180^{\circ}[/tex]              (Supplementary angles)

[tex]68^{\circ}+\angle 2=180^{\circ}[/tex]

[tex]\angle 2=180^{\circ}-68^{\circ}=112^{\circ}[/tex]

[tex]\angle 3+\angle 4=180^{\circ}[/tex]              (Supplementary angles)

[tex]68^{\circ}+\angle 3=180^{\circ}[/tex]

[tex]\angle 3=180^{\circ}-68^{\circ}=112^{\circ}[/tex]

[tex]\angle 4=\angle 5=68^{\circ}[/tex]               (Corresponding angles)

Therefore the measure of ∠1 is 68°, ∠2 is 112°, ∠3 is 112° and ∠5 is 68°.

I think this is the answer for your problem.

If angle 4 is 48 degrees:

Angle 1 will also be 48 degrees.
Angle 2 will be 152 degrees, considering 2 angles next to each other on one line will equal 180 degrees total.
Angle 3 will be 152 degrees.
Angle 5 will also be 48 degrees.

Hope that helps!

m∠4=48° 
m<1 = m∠4=48° 
m<2 = 180 - 44 = 132
m<3 = m<2 = 132
m<5 = m∠4=48° 

The complete question in the attached figure

we have that
m∠4=68°

we know that
m∠4 and m∠3 are supplementary angles
so
m∠3=180-m∠4----- m∠3=180-68------> m∠3=112°

m∠3 = m∠2 --------> by alternate interior angles
so
m∠2=112°

m∠1 = m∠4 --------> by alternate exterior angles
so
m∠1=68°

m∠5 = m∠4---------> by corresponding angles
so
m∠5=68°

the answers are
m∠1=68°
m∠2=112
m∠3=112°
m∠5=68°

[tex]In the figure, lines a, b, and c are parallel and m∠4=68° . drag and drop the correct angle measure[/tex]

step-by-step explanation:

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.

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