Question

Angles P and Q are supplementary angles. If m

Answer 1

Supplimentary angles add upto 180 degrees.

Given that angle P is three times angle Q-4 then ;

Let angle P be 3(x-4) = 3x -12

Let angle Q be x

Applying the rule of supplimentary angles;

$3x-12+x=180$$4x-12=180$$4x=180+12$$4x=192$

Divide both sides by 4 to get value of x in degrees

$x=\frac{192}{4}=48$

x= 48 degrees

Angle Q = 48 degrees

Angle P = 3x-12 = (3*48)-12 = 132 degrees