Question

What’s the answer plss

Answer 1

<ABD = 67.17

Explanation:

Comment

This requires 2 steps.

• Find <A
• Find <ABD

Finding <A

<A is found by taking the inverse tangent of the ratio 8/19.

<A = tan-1*(8/19)

<A = 22.83 degrees. We'll round it later.

Finding <ABD

You have to use 2 facts here.

All triangle angles add up to 180 degrees.

You find the third angle by subtracting the other 2.

<A = 22.83 Found above

<ADB = 90 degrees Given

<ABD = ?

Equation

< A + <ADB + <ABD = 180

Solution

22,83 + 90 + <ABD = 180 Combine the left

112.83 + <ABD = 180 Subtract 112.83 from both sides.

112.83-112.83 +<ABD = 180 - 112.83 Combine

<ABD = 67.17

The answer to the nearest degree is 67.