Question

you have information about 3 angle pairs. use this information to find the measure of angle b. angles d and e are complementary angles. angles a and d are vertical angles. angles a and b are supplementary angles. a = 31°, d = 31°, e = 59°, b = \boxed{}

Explanation:

Step1: Recall supplementary angles property

Supplementary angles sum to \(180^\circ\). So \(a + b = 180^\circ\).

Step2: Substitute \(a = 31^\circ\)

\(31^\circ + b = 180^\circ\)

Step3: Solve for \(b\)

\(b = 180^\circ - 31^\circ = 149^\circ\)

Answer:

\(149^\circ\)