Question

Please help me!!

Find the measure of the following angles:
D
X
o
4xº
(x + 18)°
B
А
o
С
There needs to be an answer for

Answer 1

`{\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}`

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

Let ,

1st∠ = (x + 18)°

2nd∠ = x°

3rd∠ = 4x°

so ,

`⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°`

`⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°`

`⟶\:6x°\:+ \:108°\:=\:180°`

`⟶\:6x°\:=\:180°\:-\:108°`

`⟶\:6x\:=\:72°`

`⟶\:x\:=\:(72)/(6) \\`

`⟶\:x\:=\:12°`

substituting x = 12 at the place of x .

= x° + 18°

= 12° + 18 °

1st∠ = 30°

__________________________________

= x°

2nd∠ = 12°

__________________________________

= 4x°

= 4(12)°

3rd∠ = 48°