In below attachment ,lines xy and MN intersect at O. If angle poy =90�

1.	In below attachment ,lines xy and MN intersect at O. If angle poy =90° and a:b= 2:3.find c ????
Answer» $\bf\huge \gray{ANSWER}$ $\large\text \blue{GIVEN THAT:}$ $\sf{ = > Angle \: POY= 90°}$ $\large\text \pink{WE KNOW THAT:}$ The sum of linear pair angles or angles on line is 180 ° $\sf{ = > Angle \: POY +a+<klux>B</klux> =180°}$ $\sf{ = > a + b = 180 - 90}$ $\sf{ = > a + b = 90°}$ $\large\text \blue{GIVEN THAT:}$ $\sf{ = > a :b = 2:3} \\$ $\large\text\red{ASSUME THAT }$ Let a be 2x and b be 3x $\sf{ = > 2x + 3x = 90°}$ $\sf{ = > 5x = 90°}$ $\sf = > {x = \frac{90°}{5} } \\$ $\bf{ = > x = 18}°$ $\large\text\purple{Therefore }$ $\bf{a = 2 \times 18 = 36°}$ $\bf{b = 3 \times 18 = 54°}$ $\large\text\orange{Here }$ Angel MON is 180° MN is STRAIGHT line In above diagram b+ C also FORM straight line $\large\text\purple{Therefore }$ $\sf {= > b + c = 180° }$ $\sf{ = > c + 54 = 180°}$ $\large \boxed {c = 126°}$