Question

Who know angle pairs????????????

Answer 1

∠ABD = 45°

Explanation:

∠ABC = 90° (right angle)

∴ ∠ABD = ∠ABC - ∠CBD

= 90° - 45°

= 45°

Answer 2

Answer and Step-by-step explanation:

We want to find the measure of angle ABD (∠ABD).

We can tell by looking at this triangle that the array BD creates complementary angles (two angles who's sum equals 90°). ∠CBD is given to us, and we want to find ∠ABD. By knowing that these two angles will add up to 90°, we can create a formula to solve for ∠ABD.

90° = ∠ABD + ∠CBD

Plug in the angle for ∠CBD.

90° = ∠ABD + 45°.

Subtract 45° from both sides of the equation.

90° - 45° = ∠ABD + 45° - 45°

45° = ∠ABD

So, angle ∠ABD is 45°.

Have a great day!