Question

The opposite angles of a parallelogram are (3x + 5)0and (61 –x)0. Find the measure of all four angles of a parallelogram.

Answer 1

Step-by-step explanation:

Answer. It should be 47°&133°. (3x+5)°=(61-x)° {Opposite angles of a. parallelogram are equal and adjacent angles are supplementary.}

Answer 2

Answer:

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Step-by-step explanation:

∠A = ∠C

3x+5 = 61-x

3x + x = 61 - 5

4x = 56

x = $\frac{56}{4}$

x= 14

∠A = 3 × 14 + 5 = 47°

∠B = 180° - 47 = 133° (Sum of adjacent angles of a parallelogram is 180°)

∠C = 61 - 14 = 47°

∠D = 180° - 47 = 133° (Sum of adjacent angles of a parallelogram is 180°)