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Graded Assignment
Unit Test, Part 2: Two-Dimensional Geometry
Answer the questions below. When you have finished, submit this assignment to your teacher by the due date for
full credit.
Total score:
of 15 points
(Score for Question 1:,
of 5 points)
1.
The iS diagram shown is two intersecting lines. The measure of 25 is 47°.
(a) What is the measure of 27 ? How do you know. Explain you answer in complete sentences.
(b) Suppose the measure of 26 can be represented by (2x-5)). What equation can be written to solve
for the value of x?
(c) What is the value of x?
Answer:

Graded Assignment Unit Test Part 2 TwoDimensional Geometry Answer the questions below When you have finished submit this assignment to your teacher by the due class=

Respuesta :

By using what we know about intersecting lines, we will see that:

  • a) ∡7 = 47°
  • b) 47° + (2x - 5)° = 180°
  • c) x = 69

How to get the measures of the angles for two intersecting lines?

When two lines intersect, 4 angles are formed. There are two properties that these angles have.

  • If the angles are adjacent, then their measures add up to 180°
  • If the angles are not adjacent, these angles have the same measure.

a) We know that ∡5 = 47°

And 7 is not adjacent to 5, then 7 has the same measure:

∡7 = 47°

b) 6 and 5 are adjacent, then we must have that:

∡5 + ∡6 = 180°

47° + (2x - 5)° = 180°

That is the equation we need to solve to get the value of x.

c) To solve the linear equation we need to isolate x, let's do that:

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

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