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ycow [4]
3 years ago
6

In RST, m R =(2x+10)°, m 5=(2x+25)°, and m T=(x-5)°.

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

We know that : Sum of Angles in a Triangle is equal to : 180°

⇒ In ΔRST, The Sum of Angles ∠R , ∠S , ∠T should be equal to 180°

⇒ m∠R + m∠S + m∠T = 180°

⇒ (2x + 10)° + (2x + 25)° + (x - 5)° = 180°

⇒ (2x + 2x + x) + (10° + 25° - 5°) = 180°

⇒ 5x + 30° = 180°

⇒ 5x = 180° - 30°

⇒ 5x = 150°

⇒ x = 30°

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Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

P=x+y+z

P=3,067\ mi

so

3,067=x+y+z ----> equation A

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x=y-71 ----> equation B

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z=y+372 ----> equation C

substitute equation B and equation C in equation A

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