Question

question 4 of 10
what is the value of p?
a. 60°
b. 50°
c. 90°
d. 40°

Explanation:

Step1: Find the adjacent angle of \(140^{\circ}\)

The adjacent angle of \(140^{\circ}\) is \(180 - 140=40^{\circ}\) (linear - pair angles).

Step2: Use the triangle - angle sum property

In a triangle, the sum of angles is \(180^{\circ}\). Let the three angles of the triangle be \(40^{\circ}\), \(90^{\circ}\), and \(p^{\circ}\).
So, \(40 + 90+p=180\) (triangle - angle sum formula: \(\angle1+\angle2+\angle3 = 180^{\circ}\)).
\(p=180-(40 + 90)\)
\(p=180 - 130\)
\(p = 50^{\circ}\)

Answer:

B. \(50^{\circ}\)