Question

if the given figure ,line l parell toline m and line n is the transversal find the measure of angle a and angle b as per the given information​

Answer 1

A tough looking easy-peasy question....

HERE IS ANSWER
a=120degree
b=60 degree
STEP BY STEP EXPLANATION
HERE 60 degree is equal to angle b ( corresponding angles)

there fore b=60°
now,
a+b=180°(a and b are angles on the same side of transversal)
a+60 =180° so
a =120°

THEREFORE

A=120° B=60°

Answer 2

Answer :

$\textbf{\large{\underline{Angle a = 60 degrees}}}$

$\textbf{\large{\underline{Angle b = 120 degree}}}$

$\textsf{\large{Explaination}}$

★ $\textsf{\large{Given :}}$

•$\textsf{Line l is parallel to Line m.}$

• $\textsf{ Line n is transversal.}$

★ $\textsf{\large{To find :}}$

• $\textsf{Measures of Angle 'a' and 'b'.}$

★$\textsf{\large{Solution : }}$

$\textsf{\large{Angle a = }}$

$\textsf{Consider angle a as x}$

$\textsf{60 + x = 180}$

Reason : The angles on the same side of transversal together make 180°

$\textsf{= 60 + x = 180}$

$\textsf{ = x = 180 - 60}$

$\textsf{ = x = 120}$

$\large{\green{\boxed{\green{\boxed{\red{\textsf{Angle a = 120\degree}}}}}}}$

$\textsf{\large{Angle b =}}$

$\textsf{Consider angle b as y}$

$\textsf{Angle a + y= 180}$

Reason : The interior angles on the
same side of the transversal are supplementary.

$\textsf{= 120 + y = 180}$

$\textsf{ = y = 180 - 120}$

$\textsf{ = y = 60}$

$\large{\green{\boxed{\green{\boxed{\red{\textsf{Angle b = 60\degree}}}}}}}$

$\therefore$ Angle a = 60 degrees

$\therefore$ Angle b = 120 degree