Question

question 1 (5 points)
identify the pair of angles shown in the figure.
a) supplementary angles
b) linear pair of angles
c) complementary angles
d) vertical angles

Explanation:

1. Recall the definitions:

• Supplementary angles: Sum to \(180^\circ\).
• Linear pair: Adjacent, form a straight line (sum to \(180^\circ\)).
• Complementary angles: Sum to \(90^\circ\).
• Vertical angles: Opposite, equal.

1. From the figure, \(\angle WXY\) is a right angle (\(90^\circ\)), so \(\angle WXZ+\angle ZXY = 90^\circ\). Thus, the two angles sum to \(90^\circ\), making them complementary.

Answer:

C) Complementary angles