A city planning engineer in Cleveland must check the 10 angles that make up the three intersections on the map of downtown. If any of the angles formed by the intersections of the streets is greater than 135°, different road signs have to be used due to a new rule created by city council. She knows <CED = 52° and <FJG = 64°, so she knows she will NOT need a protractor to measure the unknown angles.

Is there a question in there somewhere?

here are the questions for the modified geometry math test... i have some of them answerd so i will put my answers down

7) Which angle is vertical to <CED?
a) <AEC
b) <AEB
c) <BED
d) <AED (my answer)

8) What is the measure of the angle in your #7 answer?
__________________(my answer 52 degrees)

9) Which angle is vertical to <FJG?
a) <FJH
b) <GJI
c) <HJI (my answer)
d) <FJI

10) What is the measure of the angle in your #9 answer?

11) <GJI is ________ & ________ to <FJG.
a) Adjacent & Supplmentary
b) Vertical & Supplementary
c) Adjacent & Complimentary
d) Vertical & Complimentary

12) Which angle is vertical to < GJI?
a) <HJI
b) <HJF
c) <GJF
d) <FJI

13) What is the measure of < GJI?
a) 64°
b) 244°
c) 116°
d) 52°
e) 128°
f) 107°

14) What is the measure of <FJH?
___________________

15) What is the measure of <AEC?
___________________

16) What is the measure of <BED?
___________________

17) The angles formed by the intersection of line segments JF & KL are supplementary. The angle of <JFK is 88°. What is the measure of <JFL?
__________________________________

he angles formed by the intersections of the streets is greater than 135°, different road signs have to be used due to a new rule created by city council.

18a) Will the city planner have to order new signs?
-Yes
-No

18b) Explain your answer for 18a.
___________________

ugh I had the same question

@Rae can u update us on the answers bc im clueless

@Rae, plz update ur answers

yo update man

To determine whether the city planning engineer needs a protractor to measure the unknown angles, we need to analyze the given information and use our knowledge of geometry.

Step 1: Identify the angles formed by the intersections of the streets.
From the given information, we know that <CED = 52° and <FJG = 64°. Let's label the unknown angles as follows:
Angle at Intersection C: <ACD
Angle at Intersection E: <CDE
Angle at Intersection F: <EFJ
Angle at Intersection G: <FGJ

Step 2: Apply the Angle Sum Property of Triangles.
The Angle Sum Property states that the sum of the interior angles of a triangle is always 180°. Since we have two triangles formed by the intersections, we can use this property to find the unknown angles.

In Triangle CED:
∠CED + ∠CDE + ∠ECD = 180°

From the given information:
52° + ∠CDE + ∠ECD = 180°

Simplifying the equation:
∠CDE + ∠ECD = 180° - 52°
∠CDE + ∠ECD = 128°

In Triangle FJG:
∠FJG + ∠FGJ + ∠GFJ = 180°

From the given information:
64° + ∠FGJ + ∠GFJ = 180°

Simplifying the equation:
∠FGJ + ∠GFJ = 180° - 64°
∠FGJ + ∠GFJ = 116°

Step 3: Analyze the unknown angles.
To determine if any of the unknown angles are greater than 135°, we need to compare their values to this threshold.

Let's assume that all the unknown angles are less than or equal to 135° and find the maximum possible value they can take.

In Triangle CED, we know that ∠CDE + ∠ECD = 128°. Since we want to maximize the angles, we assume that ∠CDE = ∠ECD = 64°.

Similarly, in Triangle FJG, we know that ∠FGJ + ∠GFJ = 116°. Assuming ∠FGJ = ∠GFJ = 58° will help us maximize the angles.

Substituting the assumed values into the equations:
64° + 64° = 128° (for ∠CDE + ∠ECD)
58° + 58° = 116° (for ∠FGJ + ∠GFJ)

Step 4: Analyze the outcome.
As per our calculations, the maximum sum of the angles at each intersection is 128° and 116°.

Since none of the individual angles exceed the threshold of 135°, the city planning engineer can conclude that she will NOT need a protractor to measure any of the unknown angles.