Question

In fig. line 1, and l, intersect at o, forming angles as shown in the figure. If x = 45° find the
values of y, z and u.
please answer step by step and correct please
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Answer 1

Answer:

if x=45° then z=45°,y=135°,u=135°

Step-by-step explanation:

here given,

x=45°

z=x(vertically opposite angles)

so,

z=45°

as angles x+y forms a straight line

x+y=180°

y=180°-45°

y=135°

now

u=y=135°

Answer 2

Step-by-step explanation:

Given: x = 45°  

Since vertically opposite angles are equal, therefore z = x = 45°  

z and u are angles that are a linear pair, therefore, z + u = 180°

Solve, z + u = 180°, for u  

u = 180° – z  

u = 180° – 45°  

u = 135°  

Again, x and y angles are a linear pair.  

x + y = 180°  

y = 180° – x  

y =180° – 45°  

y = 135°  

Hence, remaining angles are y = 135°, u = 135° and z = 45°