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Natali [406]
3 years ago
14

if 2 X degree is the exterior angle of triangle and x degree and 45 degree are opposite interior angle find the value of x degre

e​
Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
8 0

Answer:

45 degrees.

Step-by-step explanation:

The exterior angle = sum of the 2 opposite interior angles.

2x =  x + 45

2x - x = 45

x = 45.

viktelen [127]3 years ago
3 0

Answer:

x = 45 degrees

Step-by-step explanation:

<u><em>The measure of exterior angles is equal to the sum of non-adjacent interior angles</em></u>

=> 2x = x+45

=> 2x-x = 45

=> x = 45 degrees

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The perimeter of a rectangular field is 372 yards. If the width of the field is 87 yards, what is its length?__yards
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ANSWER

The length of the rectangular field is 99 yards

EXPLANATION

Given information

The perimeter of a rectangle field is 372 yards

The width of the field is 87 yards

To find the length of the rectangular field, follow the steps below

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\begin{gathered} \text{ The perimeter of a rectangular field = 2\lparen l + w\rparen} \\ \text{ where l =length, and w = width} \end{gathered}

Step 2: Substitute the given data into the formula in step 1

\begin{gathered} \text{ Perimeter = 2 \lparen l + w\rparen} \\ \text{ Perimeter = 372 yards} \\ \text{ width = 87 yards} \\ \text{  372 = 2\lparen l + 87\rparen} \\ \text{ Divide both sides by 2} \\ \text{ }\frac{372}{2}\text{ = }\frac{2}{2}(l\text{ + 87\rparen} \\ 186\text{ = l + 87} \\ \text{  subtract 87 from each sides of the equation} \\ \text{ 186 - 87 = l + 87 - 87} \\ \text{  99 = l} \\ l\text{ = 99 yards} \end{gathered}

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