Question

2. Lines m and n are parallel cut by transversal t which is also perpendicular to m and n. Which statement is NOT correct?
A. ∠1 and ∠6 are congruent
B. ∠3 and ∠5 are congruent angles
C. ∠2 and ∠3 are supplementary
D. ∠1 and ∠4 form a linear pair

Please make sure that your answer is correct, i need this tomorrow.​

Answer 1

Answer:

option D is the statement which is not correct

Answer 2

Given :- Lines m and n are parallel cut by transversal t which is also perpendicular to m and n. Which statement is NOT correct ?

A. ∠1 and ∠6 are congruent

B. ∠3 and ∠5 are congruent angles

C. ∠2 and ∠3 are supplementary

D. ∠1 and ∠4 form a linear pair

Solution :-

since transversal t is perpendicular to m and n , we get,

• ∠1 = ∠2 = ∠5 = ∠6 = 90°
• ∠3 = ∠4 = ∠7 = ∠8 = 90°

checking all options now,

A) ∠1 and ∠6 are congruent .

• ∠1 = ∠6 = 90°
• True .

B) ∠3 and ∠5 are congruent angles .

• ∠3 = ∠5 = 90°
• True .

C) ∠2 and ∠3 are supplementary .

• supplementary angles whose sum is equal to 180° .
• ∠2 + ∠3 = 90° + 90° = 180°
• True .

D) ∠1 and ∠4 form a linear pair .

• Linear pair angles are adjacent angles on a line by transversal .
• False .

therefore, Statement (D) is NOT correct .

Learn more :-

In ABC, AD is angle bisector,

angle BAC = 111 and AB+BD=AC find the value of angle ACB=?

https://brainly.in/question/16655884