the measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.
![the measure of ABD is 018x54 and the measure of CBD is 007x39 find the value of x class=](https://us-static.z-dn.net/files/d62/87e638da20daa240700157083739d11c.png)
Answer:
x = 348
Step-by-step explanation:
From the given we can tell it a supplementary angle.
Don't know what supplementary angle is?
Supplementary angle are angles that :
Equal 180 °
Solve:
Since,
∠ABD is (0.18x+54)°
∠CBD is (0.07x+39)°
Thus,
(0.18x+54) + 0.07x + 39 = 180
Group likes terms:
0.25x + 54 + 39 = 180
0.25 + 93 = 180
Subtract 93 from both sides
0.25x = 87
x = 348
Check Answer:
0.18(348) + 54 + 0.07(348) + 39
= 180