Question

Angle4 and angle5 are complements, and angle1 and angle5 are complements. 3 lines intersect and form 6 angles. counter-clockwise, from top left, the angles are 1, 2, 3, 4, 5, right angle. by the congruent complements theorem, which angle is congruent to angle4? angle1 angle2 angle3 angle5

Answer 1

By congruent complement theorem ∠4 is congruent to ∠1.

According to the given question.

Angle 4 and angle 5 are complements and angle1 and angle 5 are complements.

Now, according to congruent complements theorem

"If two angles are complementary to the same angle, then these angles are congruent to each other."

Since, it is given that ∠4 and ∠5 are the complements and ∠1 and ∠5 are compliments.

⇒ ∠1 and ∠4 are complimentary to the same angle ∠5.

Therefore, by congruent complement theorem ∠4 is congruent to ∠1.

Thus option 1 is correct.

Find out more information about congruent complement theorem here:

https://brainly.com/question/4273518

#SPJ4