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Question
In a parallelogram ABCD, if `∠`B = 135°, determine the measures of its other angles .
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Solution
Given `∠`B = 135°
ABCD is a parallelogram
∴`∠`A = `∠`C, `∠`B = `∠`D and `∠`A + `∠`B =180°
`∠`A + `∠`B =180°
`∠`A = 45°
⇒ `∠`A = `∠`C = 45° and `∠`B = `∠`C =135°
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