Explanation:
easy so first you are going to subtract 130 from 180 since any angle that is made on a straight line segment if subtracted you get the answer of the other angle
180-130 =50
I want you to draw this diagram on paper and extend the line S that is 50° since we know the angle SRQ =130
Now you will be able to see a Z formation PQR and the other half of the S is making a Z formation the interior angles of a z formation are always equal to each other
so the interior x =50°
extend the line P or Q out wards that will also be equal to the other side now since it also makes a Z formation
As we know that the angle SRQ is equal 130 we will half it or divide it by 2 the answer will be 65
one angle in R angle will be 65 while the other one will also be 65
Now we know two angles in the triangle PQR and one angle in triangle PRS
applay the formula that all interior angles sum =189
x + 65 + z =180 (name the left unknown angle z)
50 + 65 + z= 180
105+ z =180
z=180-105
z=75
we now all the angles in the triangle x
y angle =65 again apply the z formation to get the answer