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The measures of the angles of a triangle are shown in the figure below. Solve for x.

(8x-9)°
63°
70°

The measures of the angles of a triangle are shown in the figure below. Solve for-example-1
User Cateyes
by
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2 Answers

19 votes
19 votes

Final answer:

To solve for x, set up an equation with the given angles and solve for x.

Step-by-step explanation:

To solve for x, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

We have two known angles: (8x-9)° and 63°.

We can set up an equation: (8x-9) + 63 + x = 180

Simplifying the equation, we have: 9x + 54 = 180

Subtracting 54 from both sides, we get: 9x = 126

Finally, dividing both sides by 9, we find that x = 14.

User Borislav
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3.0k points
13 votes
13 votes

Answer:

x= 7

Step-by-step explanation:

Theorem: The sum of the angles of a triangle is 180

Memorize that theorem

8x - 9 + 63 + 70 = 180

8x + 124 = 180

8x = 56

x= 7

User Prasanthv
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2.7k points