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