Question

The opposite angles of a parallelogram are (6n-10)and(21-n) Find the measure of four angles​

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Answer 1

Step-by-step explanation:

Let four angles of given parallelogram be ∠A,∠B,∠C and ∠D respectively.

Here opposite angles given ∠A= 6n - 10 and∠C= 21 - n

We know that opposite angles of a parallelogram are equal .

∴ 6n - 10 = 21 - n

7n = 31

n = 31/7 = 4.428

∴ 21 - n = 16.571

∠A =∠C = 16.571 °

Also we know that sum of two adjacent angles of a parallelogram is 180.

 ∴∠A +∠B = 180°

16.571°+∠B = 180°

∠B= 163.429° =∠D (Opposite angles are equal)

∴ All four angles of given parallelogram are 16.571° , 163.429° , 16.571° , 163.429° .