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find the value of x.

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2023-03-20 08:52:11 UTC
Created
avatar71d
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2
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The value of x is 4.
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2023-03-20 08:54:21 UTC
<p>Please provide step by step solution</p>
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2023-03-20 09:12:18 UTC
<p>∠POQ +∠ROQ = 180</p><p>or, 80 + ∠ROQ = 180</p><p>or, ∠ROQ = 100</p><p><br></p><p>∠POQ + ∠OPQ + ∠PQO = 180</p><p>or, 100 + 2∠PQO = 180 [∠OPQ = ∠PQO]</p><p>or, 2∠PQO = 80</p><p>or, ∠PQO = 40</p><p><br></p><p>Therefore, x = 40</p>