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3 years ago

Please help quick. whats the answer and how do u do it? QUICK HELP MATH

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

Answer:

∠E = 77°

Step-by-step explanation:

You set the angles equal to each other:

9x - 5 = 8x + 4

x = 9

You also know that all angles in a triangle add up to 180°, so:

3x + (9x - 5) + ∠E = 180

3(9) + (9(9) - 5) + ∠E = 180

27 + 76 + ∠E = 180

∠E = 180 - 76 - 27

∠E = 77°

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3 years ago

Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Rus_ich [418]

Answer:

25.5 degrees

Step-by-step explanation:

Let the first angle be x degrees, and second angle be y degrees.

<u>Condition # 1:</u>

x = 5y - 13 --------------------(1)

<u>Condition # 2:</u>

x + y = 140 -------------------(2)

Put Eq. (1) in (2)

5y - 13 + y = 140

5y + y - 13 = 140

6y - 13 = 140

Add 13 to both sides

6y = 140 + 13

6y = 153

Divide both sides by 6

y = 25.5 degrees

Now, put the value of y in Eq. (1)

x = 5(25.5) - 13

x = 127.5 - 13

x = 114.5 degrees

<u>So, the measure of smaller angle is:</u>

= 25.5 degrees

$\rule[225]{225}{2}$

Hope this helped!

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3 years ago