Practice 18 Prove that if two sides of two adjacent acute angles are perpendicular, then the angles are complementary. Given ED LEF Prove 27 and 28 are complementary Statements Reasons F D E

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.CT: Test
Problem 17CT: Complete all statements and reasons for the following proof problem. Given: R and V are right...
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Please provide statements and reasons
STATEMENTS
Practice 18
Prove that if two sides of two adjacent acute angles are
perpendicular, then the angles are complementary.
Given ED LEF
Prove 27 and 28 are complementary
Statements
Reasons
E
Transcribed Image Text:STATEMENTS Practice 18 Prove that if two sides of two adjacent acute angles are perpendicular, then the angles are complementary. Given ED LEF Prove 27 and 28 are complementary Statements Reasons E
Practice 18 continued
Complete the proof.
Given: BAL BC
BD is an angle bisector
Prove: m/DBC = 45°
Statements
(3x+13)
m
Reasons
Find the value of x that makes m || n. State the postulate or theorem that supports your
t
4x°
+ Con int.
(4x-10)
n
Alt int
3x+13=4-16
(2x + 36)
A
m
B
(2x +44)
Alt G
(3x - 1)º
m
Transcribed Image Text:Practice 18 continued Complete the proof. Given: BAL BC BD is an angle bisector Prove: m/DBC = 45° Statements (3x+13) m Reasons Find the value of x that makes m || n. State the postulate or theorem that supports your t 4x° + Con int. (4x-10) n Alt int 3x+13=4-16 (2x + 36) A m B (2x +44) Alt G (3x - 1)º m
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