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The Exterior Angle Theorem Date_____ Period____ Find the measure of each angle indicated. 1) V R 120 °? 50 ° U T 70 ° 2) T P 115 ° 50 °? U V 65 ° 3) U Y 50 ° 70 ° ? T S 120 ° 4) R P 25 ° 80 °? S T 105 ° 5) D C T 140 ° 45 °? E 95 ° 6) U S J 110 ° 80 ° ? T 30 ° 7) G T E 28 ° 58 °? F 86 ° 8) Q P G 35 ° 95 °? R 130 ° Solve ...
Exterior Angle Theorem In a neutral geometry, an exterior angle of 4ABC is greater than either of its remote interior angles. Proof. Given 4ABC, let D be a point with A−C −D. We will first show that ∠BCD > ∠ABC. −→. Let M be the midpoint of AB and let E be a point on AM with A − M − E and AM ' ME.
The Exterior Angle Theorem states that an exterior angle of a triangle is equal to the sum of its remote interior angles. ( Remote Interior Angles are the two interior angles in a triangle that are not adjacent to the indicated exterior angle.)
4-The Exterior Angle Theorem - 4-The Exterior Angle Theorem Author: Overbey Jim Created Date: 20140423182138Z ...
Exterior Angles of a Triangle. The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles. interior + interior = exterior.
Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles. mZ4 = mZ1 + mZ 3 4 The remote interior angles of L4 are Ll and 2 £4 is an exterior anole. 3 is an interior angle. Each exterior angle has two remote interior angles. A remote interior angle is an interior
II. Find the measure of each angle. 21) ∠1 22) ∠2 23) ∠3 24) ∠4 25) ∠5 26) ∠6 3 4 6 5 2 1 68° 90° 122° x° (6x-7)° (103-x)° 2x° x° 56° x° x° x° 57° 43° 50° x° 53° 62° 80° 65° x° 80° 50° 44° x°
Exterior Angle Theorem ©Q E2o0q2j1F MKpuztGaj ySuoEfGtowbaVr^ek YLALNCP.T [ BAslllZ ]rZiygrh^t`sf orTess_eXrKvneKd^.-1-Find the measure of each angle indicated. 1) MT ... Find the measure of the angle indicated. 21) Find mD. C V 24x - 4 11x + 5 56° ...
3.5 Exterior Angle Thereom and Triangle Sum Theorem Find the measure of each angle indicated. 1) G C °? ° D E 2) FA ° ° ? G H 3) A U ° °? T S 4) E S °? T U 5) C B ° Y °? D 6) P A C ° °? B Solve for x. 7) P D x x ° C B 8) E J x x ° F G 9) SG x x ° T U 10) R J x x ° S T-1-
LEARNING OBJECTIVES: 1. Students will be able to find the measure of an exterior angle from the two remote interior angles of a triangle. 2. Students will be able to explain the relationship between supplementary angles and the exterior angle theorem.