The properties or relationship between the angles m∠1, m∠2, and m∠3 can be used to determine the statement that must be true
The correct option that gives the statement that must be true to prove that m∠1 + m∠2 + m∠3 = 180°, is the first option
A. m ║ n
Reason:
Which statement must be true to prove that m∠1 + m∠2 + m∠3 = 180°?
A. m ║ n
B. m∠1 + m∠2 = 180° - m∠3
C. m∠1 + m∠2 = 90°
D. m∠1 = m∠2 = m∠3
Given that m∠1 + m∠2 + m∠3 = 180°, we have;
m∠ACD + m∠2 + m∠3 = 180° by angles on a straight line
Therefore;
m∠ACD = m∠1 by addition property of equality
m∠ACD ≅ m∠1 by definition of congruency
m∠ACD and m∠1 are alternate interior angles formed between lines <em>m</em> and <em>n</em> and their common transversal AC
Which gives;
<em>m</em> ║ <em>n</em>, by alternate interior angles theorem which states that alternate interior formed between parallel lines are congruent
Therefore;
The statement that must be true to prove that m∠1 + m∠2 + m∠3 = 180° is <u><em>m</em></u><u> ║ </u><u><em>n</em></u>
<em />
Learn more here:
brainly.com/question/12676838
Answer:
e - 5 = 18
Hope this answered your question.
True
Because a negative square root is an i
Answer:
7/150
Step-by-step explanation:
the answer on my pic is wrong sorry
its meant to be 900A = 42 not 990A
To find x:
use the formula: tan° = opposite/adjacent
tan 61° = x/10
answer: 18.0
other length:
use the formula: cos° = adjacent/hypo
cos 61° = 10/y
answer: 20.6