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Mariana [72]
2 years ago
14

PLEASE HELP! Find the degree measure of each numbered angle.

Mathematics
2 answers:
Natasha2012 [34]2 years ago
6 0

Answer:

m∠1 = 76°

m∠2 = 76°

m∠3 = 36°

Step-by-step explanation:

<u>The interior angles in a triangle sum to 180°</u>

⇒ m∠1 + 85° + 19° = 180°

⇒ m∠1 + 104° = 180°

⇒ m∠1 + 104° - 104° = 180° - 104°

⇒ m∠1 = 76°

<u>Vertical Angle Theorem </u>

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

⇒ m∠2 = m∠1

⇒ m∠2 = 76°

<u>The interior angles in a triangle sum to 180°</u>

⇒ m∠2 + m∠3 + 68° = 180°

⇒ 76° + m∠3 + 68° = 180°

⇒ m∠3 + 144° = 180°

⇒ m∠3 + 144° - 144°= 180° - 144°

⇒ m∠3 = 36°

Talja [164]2 years ago
5 0

Answer:

1=76°

2=76°

3=36°

Step-by-step explanation:

To find 1, add the other angles in the triangle and subtract by 180.

85+19=104

180-104=76.

1 is equal to 2 so 2=76

To find 3, add 76 and 68, then subtract by 180.

76+68=144

180+144=36

3=36

Hope this helps!

If not, I am sorry.

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Answer:

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Step-by-step explanation:

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6 0
3 years ago
A 75% increase followed by a 33 1/2% decrease​
o-na [289]

After 75% increase followed by a 33 1/2% decrease the net increased is 16.375%.

<u>Solution:</u>

Need to determine net percentage increase or decrease when a value is increased by 75% and then decreased by 33 \frac{1}{2} \% that is 33.5%.

Let’s assume initial value be represented by variable x.

75 \% \text { decrease means } x+75 \% \text { of } x=x+\frac{75}{100} x=x+0.75 x=1.75 x

Now there is decrease of 33.5%

\begin{array}{l}{33.5 \% \text { decrease means } 1.75 x-33.5 \% \text { of } 1.75 x=1.75 x-\frac{33.5}{100} \times 1.75 x} \\\\ {=1.75 x-(0.335 \times 1.75) x=1.75 x-0.58625 x} \\\\ {=1.16375 x}\end{array}

\text { So increase in percentage }=\frac{\text { final value-initial value}}{\text { intial value }}

=\frac{1.16375 x-x}{x} \times 100=16.375 \%

Hence after 75% increase followed by a 33 \frac{1}{2} \% decrease the net increased is 16.375%.

8 0
3 years ago
Use parentheses to make this statement true: 8 times 4 - 2 times 3 + 8 divided by 2
PIT_PIT [208]
8x4(-2x3)+8/2

I hope this is right!
7 0
3 years ago
Help, please.
Ray Of Light [21]

Answer:

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Step-by-step explanation:

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3 years ago
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Given the following sets. <br>A=(0,1,2,3)<br>B=(a,b,c,d)<br>C=(0,a,2,b)<br>Find A n C.
MakcuM [25]

Answer:

  A ∩ C = {0, 2}

Step-by-step explanation:

The elements that sets A and C have in common are {0, 2}.

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3 years ago
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