Question

In the adjoining figure find x, y and z

Answer 1

Answer:

x = 120° ; y = 60° ; z = 70°

Step-by-step explanation:

x + 60° = 180°                       (Angle of a stright line is 180° )

x = 180° - 60° = 120°    

x + y = 180°                            (Angle of a stright line is 180° )          

y = 180° - 120° = 60°      

y + z + 50° = 180°                  (Angle of a stright line is 180° )

z = 180° - 50° - 60° = 70°        

Verfication :

Add all angles the answer should be 360°

Answer 2

Answer:

THE REQUIRED VALUE OF X=120°, VALUE OF Y=60° AND VALUE OF Z=70°.

Step-by-step explanation:

In the given figure,

$x + {60}^{o} = {180}^{o}(linear \: pairs) \\ = > x = {180}^{o} - {60}^{o} \\ = > x = {120}^{o}$

NOW,

$x + y = {180}^{o} (linear \: pair)\\ = > {120}^{o} + y = {180}^{o} \\ = > y = {180}^{o} - {120}^{o} \\ = > y = {60}^{o}$

NOW,

$y + z + {50}^{o} = {180}^{o} \\ (sum \: of \: all \: angles \: in \: a \: straight \: line) \\ = > {60}^{o} + z + {50}^{o} = {180}^{o} \\ = > {110}^{o} + z = {180}^{o} \\ = > z = {180}^{o} - {110}^{o} \\ = > z = {70}^{o}$

THEREFORE, THE REQUIRED VALUE OF X=120°, VALUE OF Y=60° AND VALUE OF Z=70°.

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