Question

In the adjacent figure , PQRS is a parallelogram. Find each angle of the parallelogram marked with a letter.

Answer 1

AQParallelogram Is 4 sided Closed Figure.
➡️Having Opposite Angles Equal.
➡️ Opposite sides are parallel .
➡️Total Sum of angle is 360°

Now,
In Given Parallelogram PQRS
In which
S=110°
It's Opposite Angle=X
And You know Opposite angles are Equal So
X=110°
So Q(x)=110°
Now Total Sum of this Two Angles
110°+110°=220°

Remain=360-220=140°

MEANS
Angle P= Angle R

And A Diagonal or Bisector PR is Pass Through Which Divide Angle in Two Parts
Now
Angle P=140/2=70°
Angle R=140/2=70°

Now We know Angle P=70°
Angle R=70°

But A Bisector dividing it
1/2 R=30°
So Another 1/2 R(t)=70-30=40°
Angle T=40°

And You knowing OPPOSITE sides Are parallel
Then PR line Is Now Tranversal Line.
And You Might Know in When Transversal Line cut a parable line Alternate Angle is Form
Transversal PR cut Line SR and PQ
In Alternate Angle Pair Opposite angles in Upper and Down Part Is Equal.
MEANS In this
1/2 R=Z
Y=T

MEANS Z=30°
And Y=40°

Now We know
T=40°
Y=40°
Z=30°
X=110°

Answer 2

Step-by-step explanation:

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