Math, asked by cutegirl72, 1 year ago

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Answers

Answered by meghanaattili
4

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°

Mark as Brainliest Answer


meghanaattili: Mark as Brainliest Answer..
Answered by Anonymous
4

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


Anonymous: Thanks for brainliest ^_^
cutegirl72: welcome
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