Explanation:
given,
angle SRP = 2x
angle PRT = 7x
we know that,
sum of all the angles in a straight line is 180°
so,
Angle,
SRP + TRS = 180
therefore,
→ 2x + 7x = 180
→ 9x = 180
→ x = 180/9 = 20
→ x = 20
now, value of x is 20
and measure of angle,
SRP = 2x → 2(20) → 40°
PRT = 7x → 7(20) → 140°
QRT = 40° (vertically opposite angle)
SRQ = 140° (vertically opposite angle).
hope this answer helps you dear...take care and may u have a great day ahead!