Question

in the following figure, HOPE AND ROPE are parallelogram . find the measures of angle x,y,z . state the properties you used to find them ​

Answer 1

Answer:

$x = {180}^{o} - ( {60}^{o} + {80}^{o} ) \\ ( by \: angles \: on \: a \: line \: = {180}^{o} ) \\ = > x = {180}^{o} - {140}^{o } \\ = > x = {40}^{o}$

$z = x = {40}^{o} \\ (alternate \: interior \: angles)$

$y = {180}^{o} - ( {60}^{o} + {40}^{o}) \\ (angle \: sum \: property \: of \: triangle) \\ = > y = {180}^{o} - {100}^{o} \\ = > y = {80}^{o}$

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