Question

The opposite angles of a parallelogram are (3x+5)° and (61-x)°. Find the measure of four angles​

Answer 1

Step-by-step explanation:

☘Answer:-

Given:-

• The opposite angles of a parallelogram are (3x+5)° and (61-x)°.

To find:-

• Measurement of the four angles.

Solution:-

(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°.