A) Measure of Angle L is 67.5. Angle F & Angle L are alternate interior angles.
b) Measure of Angle E is 112.5, because we know that F and H are vertical angles, so therefore they’re congruent. We also know H and E are adjacent, so H + E = 180.
c) Angles E and K are alternate exterior angles. Measure of Angle K is 112.5.
d) Measure of Angle H is 67.5, because we know that Angle F, which is vertical to Angle H, is 67.5. Vertical angles are congruent.
e) Measure of Angle I is 112.5, because Angle I and Angle K are vertical angles.
f) They’re corresponding angles.
Answer:
(a)80 feet
(b)$120,000
Step-by-step explanation:
<u>Part A</u>
<u>Intersecting Secant-Tangent Theorem</u>
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
In the attached diagram, the theorem applied is:

Comparing with our diagram:
|AX|=30 feet
|UX|=10 feet
Length of the Bridge,L
Therefore:

900=10(L+10)
L+10=900/10
L+10=90
L=90-10=80 feet
Length of the Bridge=80 feet
<u>Part B</u>
If each foot costs $1500
Cost of the bridge=$1500*80=$120,000
1. SAS
2. SSS
3. SAS
4. AAS
5. SAS
6. SAS
7. AAS
8. ASA
9. SSS
Answer:
126,300.
Step-by-step explanation: