Geometry Problems - Angles and Sides

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Questions and Answers

In Problem 9, the length of one side of the triangle is ______ inches.

8

The angle markings in Problem 9 are both equal to (3x)°, suggesting that the triangle has ______ angles.

two

In Problem 10, the known angle at point C measures ______°.

63

In Problem 11, the lengths of sides RS and RT are given as 33 and ______ units respectively.

<p>3.5</p> Signup and view all the answers

The additional unlabeled problem refers to the value of x as ______.

<p>18</p> Signup and view all the answers

Flashcards

Triangle with unknown angles (Problem 9)

A triangle has two equal angles, each marked as 3x degrees. One side length is 8 inches. We need to find the value of x and y.

Triangle with a line segment (Problem 10)

Triangle ABC has a line segment connecting vertices A and D. Angle at C = 63°. ∠1 and ∠2 are unknown.

Triangle RST (Problem 11)

Triangle RST has unknown angles m∠T and m∠R. Side lengths RS = 33 and RT = 3.5.

Additional problem (Problem 12) x = 18, y = 2

A problem with an unknown variable 'x' is given as having a value of 18. Another variable 'y' is given as having a value of 2. The specifics of the problem are missing.

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Angle Sum within Triangle

The sum of all angles in a triangle always equals 180 degrees.

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Study Notes

Problem 9

  • Variable x represents a side length of 8 inches
  • Variable y is missing a value

Problem 10

  • Missing angle measurements for m∠1 and m∠2 are needed
  • Triangle has an unknown angle

Problem 11

  • m∠T = 63 degrees
  • m∠R = 35 degrees

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