use the figure to answer the question.
1. name a pair of complementary angles.
<1 and <4
<1 and <2
<3 and <4
<1 and <6
To determine a pair of complementary angles using the given figure, we need to understand that complementary angles are two angles that add up to 90 degrees.
Looking at the figure, we can identify two angle pairs that add up to 90 degrees:
1. <1 and <4: These two angles are adjacent and together form a straight line, which is 180 degrees. Since they are supplementary angles, we can subtract <4 from 180 to find <1. If <4 is, for example, 70 degrees, then <1 will be 180 - 70 = 110 degrees.
2. <3 and <4: These two angles are vertically opposite angles, which means they share the same vertex and are created by two intersecting lines. Vertical angles are congruent, so if <4 is 70 degrees, then <3 will also be 70 degrees.
Based on the figure, the pair of complementary angles would be <3 and <4.