Question

lets go step by step. the first clue tells you that angle c and angle d are supplementary angles.
angle d has a measure of 135°, shown in the figure. what is the measure of angle c?
angles c and d are supplementary angles.
angles c and e are vertical angles.
angles a and e are complementary angles.

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles sum to \(180^{\circ}\). So, \(c + d=180^{\circ}\).

Step2: Substitute the value of \(d\)

Given \(d = 135^{\circ}\), then \(c=180^{\circ}-d\).

Step3: Calculate the value of \(c\)

\(c = 180^{\circ}-135^{\circ}=45^{\circ}\)

Answer:

\(45\)