Question

question 3 (1 point)
a =
______
b =
______
blank 1:
blank 2:

Explanation:

Step1: Use angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. Let the third interior angle of the triangle be \(x\). So \(x+63^{\circ}+62^{\circ}=180^{\circ}\), then \(x = 180^{\circ}-(63^{\circ}+62^{\circ})=180^{\circ}-125^{\circ}=55^{\circ}\).

Step2: Use linear - pair property

Angle \(a\) and the third interior angle of the triangle form a linear - pair. So \(a + 55^{\circ}=180^{\circ}\), then \(a=180^{\circ}-55^{\circ}=125^{\circ}\).

Step3: Use linear - pair property for angle \(b\)

Since \(a\) and \(b\) form a linear - pair, \(a + b=180^{\circ}\). Given \(a = 125^{\circ}\), then \(b=180^{\circ}-125^{\circ}=55^{\circ}\).

Answer:

Blank 1: \(125\)
Blank 2: \(55\)