Question

I f m ∠ P i s t h r e e l e s s t h a n t w i c e t h e m e a s u r e o f ∠ Q , a n d ∠ P a n d ∠ Q a r e s u p p l e m e n t a r y a n g l e s , f i n d t h e m ∠ P .

Answer 1

...............................

Answer 2

The value of angle P is 119 degrees

Explanation:

When two angles are supplementary, it means that they add up to be 180 degrees. For example, if we have two angles only on a straight line, then both angles are supplementary angles.

Now, the information we have from the question is that angle P is three less than twice the measure of Q.

What this mean is that if Q is x, then P is 2x-3

So let’s add both to equal 180 since they are supplementary;

x + 2x -3 = 180

3x -3 = 180

3x = 180 + 3

3x = 183

x = 183/3

x = 61

This is the value of Q;

The value of P which we are asked to look for is 2x -3 = 2(61) -3 = 122 -3 = 119 degrees