Math, asked by Bilalmalik, 11 months ago

in the figure RISK and CLUE are parallelogram find the measure of X​

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Answered by protestant
11

<U>Main Concept:In a llgm the  0pposite angles is equal  .</U>

Given:CLUE and RISK is a llgm

<L=70

<E=70(opposite angles are equal)

In llgm RISK

<k =<I

<I=120

Again ,<I+<S=180

<S=180-120

<S=60

Now, in traingle sum of the interior angles is 180

So,<S +<E +X=180

60+70+X=180

130+X=180

X=180-130

X=50

&lt;font color ="green"&gt;So, the value of X is 50.&lt;/font&gt;


protestant: ur answer
Bilalmalik: thanx
protestant: welcome
Answered by nandhu09
3

Answer: In RISK

∠RIS = ∠RKS = 120 (opposite angles in a parallelogram are equal)

other two angles of the parallelogram ∠KRI + ∠KSI = 360 - ∠RIS - ∠RKS

= 360 - 120 - 120 = 360 - 240 = 120

∠KRI = ∠KSI = 60

In ||gram CLUE ∠KRI + ∠KSI CEU = ∠KRI + ∠KSI CLU = 70 (opposite angles in a parallelogram are equal)

now we have two angles on the triangle ESX = 70+60+x

sum of angles of triangle = 180

so x = 180 - 130 = 50

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