Question

find the measure of each variable.

do in process and do it fast​

Answer 1

$angle \: q = 125 \: (vertically \: opposite \: angle) \\ angle \: r + 125 = 180 \: (linear \: pair) \\ angle \: r = 180 - 125 = 55 \\ angle \: r \: = angle \: p(vertically \: opposite) \\ angle \: p = 55 \\ p = 55 \\ q = 125 \\ r = 55$

hope this helps

Answer 2

Answer:

angle q = 125° ( Vertically opposite angles are equal)

Angle r = angle p ( Vertically opposite angles )

So we see here a circle is formed and measurement of interior angles of circle is 360°

So, to find angle r + p we have to do

360 - (125° + angle q ) = angle r + angle p

= 360 - 125+ 125 = angle r + angle p

= 360 - 250 ° = angle r + angle p

= 110° = angle r + angle p

Now we have found angle r + angle p

Now both are equal ( vertically opposite angles) then measurements of

angle r and angle p separately is 110/2 = 55°

Hence angle r and angle p = 55° and 55°

All measurements = angle q = 125° , angle r = 55° and angle p = 55°