Question

Which of the following statements are true? Select all that apply:

1) angle 2 and 3 form a linear pair.
2)Angle 1 and 4 are supplementary angles.
3) measurement of angle 1 + measurement of angle 2 + measurement of angle 3 =180.
4) measurement of angle 3 + measurement of angle 4 = measurement of angle 1 + measurement of angle 2.
5) angle 1 and 4 are vertical angles

Answer 1

Which of the following pairs of angles are supplementary? Select all that apply.

❌∠1 and ∠2

✔∠1 and ∠3

✔∠1 and ∠4

✔∠2 and ∠3

✔∠2 and ∠4

❌∠3 and ∠4

Step-by-step explanation: Just trust me...if you're on the question I just put in the answer then you're gonna get it right :)

Answer 2

4) measurement of angle 3 + measurement of angle 4 = measurement of angle 1 + measurement of angle 2

5) angle 1 and 4 are vertical angles

Explanation:

Verify each statement

1) angle 2 and 3 form a linear pair

The statement is false

Because, angle 2 and angle 3 not form a linear pair (are not supplementary angles), angle 2 and angle 3 are vertical angles

∠2=∠3

2) Angle 1 and 4 are supplementary angles.

The statement is false

Because, angle 1 and angle 4 are not supplementary angles, angle 1 and angle 4 are vertical angles

∠1=∠4

3) measurement of angle 1 + measurement of angle 2 + measurement of angle 3 =180

The statement is false

Because

we know that

∠1+∠2=180° ------> form a linear pair (supplementary angles)

so

∠1+∠2++∠3>180°

4) measurement of angle 3 + measurement of angle 4 = measurement of angle 1 + measurement of angle 2

The statement is true

Because

we know that

∠1+∠2=180° ------> form a linear pair (supplementary angles)

∠3+∠4=180° ------> form a linear pair (supplementary angles)

therefore

∠3+∠4=∠1+∠2

5) angle 1 and 4 are vertical angles

The statement is true

Because

∠1=∠4 -------> by vertical angles