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Answers
Answer:
x = 50
Step-by-step explanation:
Adjacent angles of a parallelogram are supplementary.
In parallelogram RISK, ∠RKS + ∠ISK = 180°
120° + ∠ISK = 180°
∠ISK = 60°
Also, opposite angles of a parallelogram are equal.
In parallelogram CLUE, ∠ULC = ∠CEU = 70°
The sum of the measures of all the interior angles of a triangle is 180º.
x + 60° + 70° = 180°
x = 50°
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Answer :-
x = 50°
Explanation :-
In parallelogram KRIS
Angle RKS = 120 °
=> Angle RIS = 120° AS OPPOSITE ANGLES ARE EQUAL IN PARALLELOGRAM
NOW AS EU IS PARALLEL TO RC
NOW IS IS TRANSVERSE THEREFORE ANGLE RIS = ANGLE ISU = 120°
THEN ANGLE ISK = 180° - ANGLE ISU
= 180° - 120°
= 60°
Now in PARALLELOGRAM ECLU
ANGLE CLU = 70° =ANGLE CEU
BECAUSE CLU IS OPPOSITE TO ANGLE CEU
THEN NOW IN TRIANGLE ESX
ANGLE ESX = 60°
ANGLE XES = 70°
Therefore ANGLE X = 180° - (60° + 70° )
=> ANGLE X = 180° - 130°
=> ANGLE X = 50°
HOPE IT HELPS