7.The opposite angles of a parallelogram are (3x + 5)° and (61 – x)°. Find the measure of four angles.

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In a parallelogram, opposite angles are equal. Therefore, we can set up an equation using the given information: Opposite angles: (3x+5)°(3x+5)° and (61−x)°(61−x)° Since opposite angles are equal: 3x+5=61−x3x+5=61−x Now, solve for xx: 4x=564x=56 x=14x=14 Now...
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In a parallelogram, opposite angles are equal. Therefore, we can set up an equation using the given information: Opposite angles: (3x+5)°(3x+5)° and (61−x)°(61−x)° Since opposite angles are equal: 3x+5=61−x3x+5=61−x Now, solve for xx: 4x=564x=56 x=14x=14 Now that we have the value of xx, we can find the measures of all four angles: ∠A=3x+5=3(14)+5=42+5=47°∠A=3x+5=3(14)+5=42+5=47° ∠B=61−x=61−14=47°∠B=61−x=61−14=47° (Opposite angle to ∠A∠A) ∠C=3x+5=3(14)+5=42+5=47°∠C=3x+5=3(14)+5=42+5=47° (Opposite angle to ∠D∠D) ∠D=61−x=61−14=47°∠D=61−x=61−14=47° (Opposite angle to ∠C∠C) So, the measures of the four angles in the parallelogram are 47°47°, 47°47°, 47°47°, and 47°47°. read less
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