Question

practice c:
(first taught in lesson 24)
find a + b.
after you enter your answer press go.
a + b =

Explanation:

Step1: Find the value of \(a\)

Since the two lines are parallel, \(a = 45^{\circ}\) (alternate - interior angles are equal).

Step2: Find the value of \(b\)

We know that \(b+45^{\circ}=180^{\circ}\) (linear - pair of angles). So, \(b = 180^{\circ}-45^{\circ}=135^{\circ}\).

Step3: Calculate \(a + b\)

Substitute the values of \(a\) and \(b\): \(a + b=45^{\circ}+135^{\circ}\).

Answer:

\(180\)