Answer=145
this is because supplementary means the two angles equal 180
180-35=145
Sin2(x) +cos(x)=1
from the relation: (sin2(x) +cos2(x) =1 )
so , sin2(x)=1-cos2(x)
by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
so the solution is x= {0,pi/2 , 2*pi}

1. Both are corresponding angles, hence they both are equal, so,

Ans. C) 2
2. They both are in interior corressponding, hence their sum is equal to 180°, so,

Ans. D) 7
3. They both are in interior corressponding, hence their sum is equal to 180°, so,

Ans. A) -10
4. Both are corresponding angles, hence they both are equal, so,

Ans. A) 6
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<span>Ray
Q is the ray that angle PQR and SQR shares. Because both angles has the ray of
Q.
ray refers to a line with one endpoint
P is a ray, Q is a ray, R is a ray and S is a ray. When you put them together,
they form angle.
Pls. see attachment for the presentation of the angle PQR and SQR and how they
share ray Q</span>