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use the figure below, give the following. (a) one pair of angles that f…

Question

use the figure below, give the following. (a) one pair of angles that form a linear pair (b) one pair of vertical angles (c) one pair of angles that are congruent (a) linear pair: ∠ and ∠ (b) vertical angles: ∠ and ∠ (c) congruent angles: ∠ and ∠

Explanation:

Step1: Recall linear - pair definition

Two adjacent angles that form a straight - line are linear pair. $\angle1$ and $\angle2$ form a linear pair.

Step2: Recall vertical - angles definition

Vertical angles are opposite angles formed by two intersecting lines. $\angle3$ and $\angle4$ are vertical angles.

Step3: Recall congruent - angles concept

Vertical angles are congruent. $\angle5$ and $\angle7$ are vertical and congruent.

Answer:

(a) $\angle1$ and $\angle2$
(b) $\angle3$ and $\angle4$
(c) $\angle5$ and $\angle7$