Question

Please help me!!

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 ,

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

$⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°$

$⟶\:6x°\:+ \:108°\:=\:180°$

$⟶\:6x°\:=\:180°\:-\:108°$

$⟶\:6x\:=\:72°$

$⟶\:x\:=\:\frac{72}{6}$

$⟶\:x\:=\:12°$

substituting x = 12 at the place of x .

= x° + 18°

= 12° + 18 °

1st∠ = 30°

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= x°

2nd∠ = 12°

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= 4x°

= 4(12)°

3rd∠ = 48°