Question

In figure 2.9,line AB | line CD and line PQ is transversal. Measure of one of the angles is given.Hence find the measures of the following angles.
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Answer 1

Hope it will help you

Just change the name of angle

method is same

Btw why were u not online?

Answer 2

$\huge\boxed{\fcolorbox{red}{ink}{SOLUTION:}}$

1)Angle ART

${\blue{Angle \: ART + \: Angle \: BRT = 180 °}}$

$\huge\boxed{\dag\sf\red{THEREFORE}\dag}$

$\pink{Angle \: ART +105 ° = 180°}$

• Angle ART = 180° -150°
• ( Angle in linear pair )

$\huge\boxed{\dag\sf\red{Hence}\dag}$

Angle ART =75°

$\huge\boxed{\dag\sf\red{NOW}\dag}$

2)Angle CTQ

• Angle ART ≈Angle CTQ
• ( corresponding angle )

${\orange{Angle \: ART = 75° \: Angle\: CTQ = 75°}}$

$\huge\boxed{\dag\sf\red{NOW}\dag}$

3)Angle DTQ

• Angle DTQ ≈Angle BRT
• (corresponding angle)

${\pink{Angle \: BRT= 105° \: Angle \: \: DTQ = 105°}}$

$\huge\boxed{\dag\sf\red{NOW}\dag}$

5) Angle PRB

• Angle PRB ≈Angle ART
• Opposite angles

${\orange{Angle \: PRB = 75°. \: \: Angle \: PRB = 75°}}$