Question

The opposite angles of a parallelogram are (3x+5)0 and (61-x)0 . Find the measure of four angles.Why do you think parents and doctors get very worried if a child gets a head or spinal injury?Why do you think parents and doctors get very worried if a child gets a head or spinal injury?Why do you think parents and doctors get very worried if a child gets a head or spinal injury?Why do you think parents and doctors get very worried if a child gets a head or spinal injury?Why do you think parents and doctors get very worried if a child gets a head or spinal injury?

Answer 1

(3x + 5)° and (61 – x)° are the opposite angles of a parallelogram.

We know that the opposite angles of a parallelogram are equal.

Therefore,

(3x + 5)° = (61 – x)°

3x + x = 61° – 5°

4x = 56°

x = 56°/4

x = 14°

⇒ 3x + 5 = 3(14) + 5 = 42 + 5 = 47

61 – x = 61 – 14 = 47

The measure of angles adjacent to the given angles = 180° – 47° = 133°

Hence, the measure of four angles of the parallelogram are 47°, 133°, 47°, and 133°.