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Hunter-Best [27]

2 years ago

7

A triangle has 34 degree angle and a 102 degree angle what is the third angle

1 answer:

coldgirl [10]2 years ago

8 0

Answer: 44 degrees.

Step-by-step explanation: Since the sum of the measures of the angles in a triangle add up to 180 degrees, we can figure out the measure of the third angle by adding the first two angles and subtracting the sum from 180. 102 + 34 = 136. 180 - 136 = 44, so the measure of the third angle is 44 degrees.

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I know the selected answer is correct but I'm not too sure how to get that answer.

Kryger [21]

$\tt{ Hey \: there , \: Mr.Panda \: ! }$ ;)

♨ $\large{ \tt{ E \: X \: P \: L \: A \: N \: A \: T \: I\: O \: N}}:$

⤻ Before solving the given question , you should know the answer of these questions :

✺How do you find the hypotenuse , perpendicular and base when the angle ( $\theta \: , \alpha \: ,\beta$ ) is given ?

⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).

☄ $\large{ \tt{REMEMBER}} :$

$\bf{ \sin \theta = \frac{opposite}{hypotenuse} = \frac{perpendicular}{hypotenuse} }$

$\bf{ \cos\theta = \frac{adjacent}{hypotenuse} = \frac{base}{hypotenuse} }$

$\bf{ \tan \theta = \frac{opposite}{adjacent} = \frac{perpendicular}{base} }$

In the above cases , $\theta$ is taken as the angle of reference.

♪ Our Q/A part ends up here! Let's start solving the question :

❈ $\large{ \tt{GIVEN}} :$

Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16

✧ $\large{ \tt{TO \: FIND} : }$

Value of tan $\theta$

✎ $\large{ \tt{SOLUTION}} :$

Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :

❃ $\boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}$ [ Pythagoras theorem ]

$\large{ ⇢ \sf{p}^{2} + {b}^{2} = {h}^{2} }$

$\large{⇢ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}$

$\large{ ⇢\sf{ {p}^{2} = {18}^{2} - {16}^{2} }}$

$\large{⇢ \sf{ {p}^{2} = 324 - 256}}$

$\large{⇢ \sf{ {p}^{2} = 68}}$

$\large{⇢ \sf{p = \sqrt{68}}}$

$\large{ ⇢\sf{p = \boxed{ \tt{2 \sqrt{17}}} }}$

Okey, We found out the perpendicular i.e $\tt{2 \sqrt{17}}$ . Now , We know :

❊ $\large{ \sf{ \tan \theta} = \frac{perpendicular}{base} }$

$\large {\tt{↬ \: tan \theta = \frac{2 \sqrt{17} }{16}}}$

$\large{ \tt{ ↬ tan \theta = \frac{ \cancel{2} \: \sqrt{17} }{ \cancel{16} \: \: 8} }}$

$\large{ \tt{ ↬ \boxed{ \tt{tan \theta = \frac{ \sqrt{17} }{8}}}}}$

⟿ $\boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{ \frac{ \sqrt{17} }{8}}}}}}}$

۵ Yay! We're done!

♕ $\large\tt{RULE \: OF \:SUCCESS }:$

Never lose hope & keep on working ! ✔

ツ Hope I helped!

☃ Have a wonderful day / evening! ☼

# StayInAndExplore ☂

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3 0

3 years ago

Read 2 more answers

A guitar originally priced at $240 is on sale with a 30% discount. How much will you pay for the guitar?

N76 [4]

Answer:$168.00

With original price $240 and 30% discount,

Price after discount:<u> $168.00</u>

You saved: $72.00

3 0

3 years ago

Read 2 more answers

At Dubai metro station, in a week 320 trains arrived. Out of these 5% arrived early and 15% arrived late. How many arrived on ti

dybincka [34]

<u><em>The </em></u><u><em>number of trains</em></u><u><em> that arrived Dubai metro station on time is; 272 trains. </em></u>

<u><em /></u>

We are told that 320 trains arrived the Dubai metro station in a week.

Now, we are told that 5% got there early and 15% got there late.

This means, the percentage that got there on time is;

100% - % of trains that got there late.

Therefore, percentage of trains that got there on time is;

100% - 15% = 85%

Since 85% of the trains got there on time, then number of trains that got there on time is;

85% × 320 = 272

Therefore, we can conclude that 272 trains arrived on time.

Read more at; brainly.in/question/33336249

4 0

2 years ago

Need help thank you very much

Zarrin [17]

Answer:

a) - 9/2 or -0,45

b) - 3/5 or -0,6

c) -4

d) 1

e) -2

d) 0

Step-by-step explanation:

4 0

2 years ago

Write the converse of this statement.

rusak2 [61]

If two angles are equal, then they are both obtuse

8 0

3 years ago