Two adjacent angles of a parallelogram are (6x – 10)° and (5x + 80)°. Find the measures of each angle of the parallelogram.
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Step-by-step explanation:
Sum of adjacent angles = 180°
6x°-10° + 5x° + 80° = 180°
11x° + 70 = 180°
11x° = 180° - 70°
11x° = 110°
x° = 110/11
x° = 10°
Opposite angles of a //gm are equal.
So, 6x - 10 = 6 × 10 -10
= 50°
And, 5x + 80 = 5 × 10 + 80
= 130°
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