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

Who know angle pairs????????????-example-1
User Robert Mao
by
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2 Answers

2 votes

Answer:

∠ABD = 45°

Explanation:

∠ABC = 90° (right angle)

∴ ∠ABD = ∠ABC - ∠CBD

= 90° - 45°

= 45°

User Georgepsarakis
by
7.2k points
4 votes

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!

User Manoj Acharya
by
8.6k points

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