Question

If the measure of an angle is p is three times less than twice the measure of angle q and angle p and angle q are supplementary angles, find each angle measure

Answer 1

60 * 3 = 180 and 90 * 2 = 180
if they are supplementary angles than they equal 180 together. 
angle p is three times less than twice the measure of angle q so that means 180/3 = angle p and 180/2 = angle q. 
Angle q is 90 and twice that is 180 and Angle p is 60 and three times that is 180
so 60 is three times less than twice the measure of 90.
60 three times is 180 and 90 twice is 180 which means 3p = 2q and you have 180 because they are supplementary angles so you have really 180/3 = p and 180/2 = q
The answer is p = 60 and q = 90

Answer 2

Answer:

p=$119^{\circ}$ and q=$61^{\circ}$

Step-by-step explanation:

We are given that  measure of an angle is P is three less than twice the measure of angle q.

We have to find the value of each angle

According to question

$p+q=180^{\circ}$ ( By definition of supplementary

$p=2q-3$

Substitute the value

Then ,we get

$2q-3+q=180$

$3q=180+3$

$3q=183$

$q=\frac{183}{3}=61$

Substitute the value of q then, we get

$p=2(61)-3=122-3=119$

Hence, p=$119^{\circ}$ and q=$61^{\circ}$