Question

What is the Measure of ZADB?
A
(3x + 9)
B
(2x - 4)^
D
с

Answer 1

60

Explanation:

m(ADB) + m(BDC) = 90°

(3x+9) + (2x -4) = 90°

5x + 5 = 90°

5x = 85

5x/5 = 85/5

x = 17

m(ADB) = 3x + 9

3.17 + 9 = 51 + 9 = 60

Hope this helps ^-^

Answer 2

Answer: 60°

Explanation:

Looking at the figure, we know that the angles add up to 90°. We add both equations and solve for x.

3x+9+2x-4=90 [combine like terms]

5x+5=90 [subtract both sides by 5]

5x=85 [divide both sides by 5]

x=17

Now that we know x, we can plug it into ADB to find the angle.

3(17)+9 [multiply]

51+9 [add]

60

Now, we know that ADB is 60°.