In the pair of supplementary angles shown below, the measure of the smaller angle is 36°. Complete the equation that could be used to represent this situation. Then, solve the equation to complete the sentences.

120
36
34
180
38
144
90
56

(4x - 8) + ? = ?
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The value of x is ?
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The measure of the larger angle is ?
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Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?