Question

01 hw - angle pairs
find the measure of the missing angle b.
1.
2.
3.
4.

Explanation:

1.

Step1: Use linear - pair property

Angles in a linear pair sum to \(180^{\circ}\). So \(b + 50^{\circ}=180^{\circ}\).

Step2: Solve for \(b\)

\(b = 180^{\circ}-50^{\circ}\).

2.

Step1: Use vertical - angle property

Vertical angles are equal. So \(b = 43^{\circ}\).

3.

Step1: Use right - angle property

The sum of the two angles is \(90^{\circ}\). So \(b+63^{\circ}=90^{\circ}\).

Step2: Solve for \(b\)

\(b = 90^{\circ}-63^{\circ}\).

4.

Step1: Use linear - pair property

Angles in a linear pair sum to \(180^{\circ}\). So \(b + 35^{\circ}=180^{\circ}\).

Step2: Solve for \(b\)

\(b=180^{\circ}-35^{\circ}\).

Answer:

1. \(b = 130^{\circ}\)
2. \(b = 43^{\circ}\)
3. \(b = 27^{\circ}\)
4. \(b = 145^{\circ}\)