Question

1. determine whether the diagram gives enough information to conclude that the statement is true:

∠1 = ∠5
a. yes
b. no

1. given that lines s and t are perpendicular, find the value of x:

a. 45
b. 55
c. 35
d. 90

Explanation:

Question 3

Step1: Analyze the angles

∠1 is a right angle (90°) from \(c\perp d\). There is no information in the diagram about ∠5 being 90°.

Step1: Use the property of perpendicular lines

Since lines \(s\) and \(t\) are perpendicular, the sum of \(x\) and 55° is 90° (complementary angles).

Step2: Solve for \(x\)

\(x = 90 - 55\)

Answer:

B. No

Question 4