Question

In adjoining figure, PQ II RS. If angle 1 = (2a + b)° and angle 6 = (3a - b)º
then find the measure of angle2 in terms of b.

please explain and take your time to answer. ​​

Answer 1

Answer:

angle 2 =(3a-b)°

Step-by-step explanation:

Here we can see

angle 2 and angle 6 is alternative angle

so for this reason the measurement of angle 2 would be the following

2a+b+3a-b=180°

5a=180°

therefore a =36°

therefore angle 2=3×36-b

= 108-b