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Please do 3 & 4 and show work

Please do 3 & 4 and show work-example-1
User Adib
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1 Answer

4 votes

Answer:

3. A=B=70°; C=D=110°

4. A=90°; C=48°

Explanation:

Same-side angles of a trapezoid add to 180°.

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3. (2x) +(x+15) = 180

3x + 15 = 180 . . . . simplify

x +5 = 60 . . . . . . . divide by 3

x = 55

A=B=(x+15)° = (55+15)° = 70°

C=D=2x° = 2·55° = 110°

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4. You are given the values of one of the angles on each side, so the other can be found by subtraction:

A=180°-D = 90°

C = 180° -132° = 48°

User Rfadams
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