University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

342

Pages:

3
Author:

kampeini14yb

Describing Pairs of Angles Content: List of terms you should recognize in a picture and apply formulas (as covered in class) Complementary angles Two positive angles whose measures have a sum of 90°. Each angle is the complement of the other. Diagram: Shows two angles labeled 20° and 70°, with their sum being 90°. Supplementary angles Two positive angles whose measures have a sum of 180°. Each angle is the supplement of the other. Diagram: Shows two angles labeled 115° and 65°, with their sum being 180°. Adjacent angles Two angles that share a common vertex and side, but have no common interior points. Diagram: Shows two angles with a common vertex and a common side, labeled 5 and 6. Another diagram shows two angles that are not adjacent. Linear pair Two adjacent angles are a linear pair when their noncommon sides are opposite rays. The angles in a linear pair are1 supplementary angles. Diagram: Shows two angles with a common vertex and a common side, labeled 1 and 2. The noncommon sides are indicated as opposite rays. A note states that the angles in a linear pair are supplementary (sum of 180°). Vertical angles Two positive angles who share a vertex and opposite sides of intersecting lines. Diagram: Shows two pairs of vertical angles labeled x1, x4 and x3, x6. Note: x1 ≅ x4 and x3 ≅ x6 (vertical angles are congruent). Instructions: In Exercises 1 and 2, use the figure. 1. Name the pair(s) of adjacent complementary angles. ∠TOS and ∠TOP 2. Name the pair(s) of nonadjacent supplementary angles. ∠LSM and ∠TOP or ∠LSM and ∠ROQ Instructions: In Exercises 3 and 4, find the angle measure. 3. ∠A is a complement of ∠B and m∠A = 36°. Find m∠B. Solution: ∠A + ∠B = 90° 36° + ∠B = 90° ∠B = 54° 4. ∠C is a supplement of ∠D and m∠D = 117°. Find m∠C. Solution: ∠C + ∠D = 180° ∠C + 117° = 180° ∠C = 63°