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Marysya12 [62]
3 years ago
7

Find the value of x.

Mathematics
2 answers:
alukav5142 [94]3 years ago
8 0

Step-by-step explanation:

The sum of the three angles in a triangle must be 180. Since this triangle has a right angle, we know that it is 90°, so the sum of the remaining two angles must be 90.

We can set up an equation for the two remaining angles to determine the value of x:

(x + 28) + x = 90

2x + 28 = 90

2x = 62

x = 31

RUDIKE [14]3 years ago
3 0

Answer:

x = 31

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180 degrees.

x + x + 28 + 90 = 180

2x + 118 = 180

2x = 62

x = 31

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<em>Additional comment</em>

We notice the differences between these numbers are the same: 10. The only right triangle with side lengths having the same difference is some multiple of a 3-4-5 right triangle. For a right triangle with side lengths having a difference of 10, the sides would have to be 30, 40, 50--not 10, 20, 30.

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