Question

question 1 (2 points)
find the measures of the missing angles.
138°
a
b
a =

b =

blank 1:

blank 2:

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(a\) and the \(138^{\circ}\) angle are vertical angles, so \(a = 138^{\circ}\).

Step2: Use linear - pair property

The sum of angles in a linear pair is \(180^{\circ}\). Angle \(b\) and the \(138^{\circ}\) angle form a linear pair. So \(b=180 - 138\).
\(b = 42^{\circ}\)

Answer:

Blank 1: \(138^{\circ}\)
Blank 2: \(42^{\circ}\)