University:
High School
Course:
High School Geometry
Academic year:

2020
Views:

325

Pages:

3
Author:

Daasdorfkd

Measuring and Constructing Angles List of terms you should recognize in a picture and apply formula (as covered in class) angle - made up of two rays vertex - center of an angle sides of an angle - the "rays" interior of an angle - the part of the angle referred to when talking about an angle exterior of an angle - outside part of ∠ (not the part we refer to) measure of an angle - the degree acute angle - smaller than 90° right angle - exactly 90° obtuse angle - bigger than 90° straight angle - 180° aka "line" congruent angles - two angles that are equal (as marked) angle bisector - a ray that cuts an angle in half (two equal parts) Angle Addition Postulate Symbols: If P is in the interior of ∠RST then m∠RST = m∠RSP + m∠PST Extra Practice In Exercises 1-3, name three different angles in the diagram. ∠GFE or ∠EFG ∠GFIH or ∠HFG ∠EFH or ∠HFE ∠QRT or ∠TRQ ∠TRS or ∠SRT ∠QRS or ∠SRQ ∠LMK ∠LMN ∠NMK In Exercises 4-9, find the indicated angle measure(s). Find m∠JKL Angle Addition m∠JKM + m∠MKL = m∠JKL 31° + 85° = m∠JKL 116° = m∠JKL m∠RSU = 91° Find m∠RST m∠RSU = m∠RST + m∠UST 91° = m∠RST + 69° -69° -69° 22° = m∠RST ∠UWX is a straight angle. Find m∠UWV and m∠VWX m∠UWV + m∠VWX = m∠UWX (x + 20)° + x° = 180° 2x + 20° = 180° -20° -20° 2x = 160° x = 80° m∠UWV = (80 + 20)° = 100° m∠VWX = 80°