adjacent angle of the parallelogram are (2 x + 4) and (3 x + 1). and find the measure of the all angles of the parallelogram
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Angles of parallelogram are 70° , 110° , 70° , 110°
Step-by-step explanation:
The adjacent angles of a parallelogram are (2x - 4)⁰ and (3x – 1)⁰. find the measures of all angles of the parallelogram.
Sum of adjacent angle of parallelogram = 180°
=> (2x - 4)⁰ + (3x – 1)⁰ = 180°
=> (5x - 5)⁰ = 180°
=> 5(x - 1)° = 180°
=> (x - 1)° = 36°
=> x = 37°
2x - 4 = 2 * 37 - 4 = 70°
3x – 1 = 3 * 37 - 1 = 110°
opposite angles are equal in parallelogram
Angles of parallelogram are 70° , 110° , 70° , 110°
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(sum of adjacent angles of parallelogram is 180.) (2x-4)+(3x-1)=180 5x-5=180 5x=180+5 5x=185 x=185/5 x=37 2x-4=2x37-4=74-4370 3x-1=3x37-1=111-1=110
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