The opposite angles of a parallelogram are (3x+5)° and (61-x)°. Find the measure of four angles
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The opposite angles of a parallelogram are (3x+5)° and (61-x)°. Find the measure of four angles
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Step-by-step explanation:
☘Answer:-
Given:-
To find:-
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°.