Question

Angle 2 and angle 6 form what type of angle pair?

Answer 1

Angle 2 and angle 6 are complementary angle

Explanation:

We are given that a figure in which

`\angle 2+\angle 3=90^(\circ)`....(1)

`\angle 5+\angle 6=90^(\circ)`...(2)

`\angle 3=\angle 6` ( vertical angle are equal)

Substitute the value the in equation (1)

Then, we get

`\angle 2=\angle 6=90^(\circ)`

When the sum of two angles is equal to 90 degrees then the angles are complementary.

Hence, angle 2 and angle 6 are complementary because the sum of angle and angle 6 is equal to 90 degrees.

Answer 2

∠2 and ∠6 are complementary angles.

Explanation:

Given the figure

we have to find the relationship between the angle ∠2 and ∠6.

As given ∠2 + ∠3 = 90° i.e

∠2 and ∠3 are complementary angles as these angle adds up to 90°

Now, ∠3=∠6 (∵ these are vertical angles)

∠2 + ∠3 = 90°

∠2 + ∠6 = 90° (∵ ∠3=∠6)

The pair of angles whose sum is 90° are called complementary angles.

∴ ∠2 and ∠6 are complementary angles.