Practice C Answer the following. 1. ABCD is a parallelogram, $m\angle A = 6x - 30$ and $m\angle C = 4x + 10$. Show that ABCD is a rectangle. 2. ABCD is a parallelogram. $AB = 2x + 1$, $DC = 3x - 11$ and $AD = x + 13$. Show that ABCD is a rhombus.
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Given that ABCD is a parallelogram, we know that opposite angles are congruent. So, we need to show that m∠A = m∠C. Given that m∠A = 6x - 30 and m∠C = 4x + 10, we can set up the equation: 6x - 30 = 4x + 10 Simplifying the equation, we get: 2x = 40 Dividing Show more…
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