Questions: In the figure, line a and line b are parallel. Based on the figure, match each given angle with its congruent angles. angles congruent to <1 angles congruent to ∠2 angles congruent to ∠7 angles congruent to ∠6 ∠3, ∠7, ∠6 ∠3, ∠7, ∠2 ∠4, ∠8, ∠5 ∠3, ∠6, ∠2

In the figure, line a and line b are parallel. Based on the figure, match each given angle with its congruent angles.
angles congruent to <1
angles congruent to ∠2
angles congruent to ∠7
angles congruent to ∠6

∠3, ∠7, ∠6

∠3, ∠7, ∠2

∠4, ∠8, ∠5

∠3, ∠6, ∠2

Transcript text: In the figure, line $a$ and line $b$ are parallel. Based on the figure, match each given angle with its congruent angles. angles congruent to $<1$ angles congruent to $\angle 2$ angles congruent to $\angle 7$ angles congruent to $\angle 6$ \[ \angle 3, \angle 7, \angle 6 \] $\square$ $\angle 3, \angle 7, \angle 2$ $\angle 4, \angle 8, \angle 5$ $\square$ $\angle 3, \angle 6, \angle 2$

Solution

Solution Steps

Step 1: Identify congruent angles to ∠3, ∠7, and ∠6

Angles 3, 7, and 6 are all congruent, as they are corresponding and alternate interior/exterior angles.

Step 2: Identify congruent angles to ∠3, ∠7, and ∠2

Angles 3 and 7 are congruent. Angle 2 is congruent to angles 4, 6, and 8. Therefore, angles 3, 7, and 2 are not all congruent to each other.

Step 3: Identify congruent angles to ∠4, ∠8, and ∠5

Angles 4, 8, and 5 are all congruent, as they are corresponding and alternate interior/exterior angles.

Final Answer

∠3,∠7,∠6 → angles congruent to ∠6
∠3,∠7,∠2 → angles congruent to ∠7
∠4,∠8,∠5 → angles congruent to ∠2
∠3,∠6,∠2 → No matching option (These angles are not all congruent)

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

Next >

Thank you for your feedback.

Copied!