Question

The opposite angles of a parallelo-
gram are (3x - 2)° and (x + 48). Find
the measure of each angle of the par-
allelogram.
pls say easy method... and fast..pls...​

Answer 1

Answer:

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Answer 2

Answer:

Given ⤵

➡The opposite angles of a parallelogram are (3x - 2)° and (x + 48)°.

To find ⤵

➡Measure of each angle of parallelogram.

Solution⤵

⚫The opposite angle of a parallelogram is equal.

➡(3x-2)°=(x+48)°

➡3x-2°=x+48°

⚫On doing variable term in one side and constant term in one side.

➡3x-x=48+2

➡2x=50

$➡x = \frac{50}{2} \\➡x = 25$

⚫Hence the value of x is 25°.

⚫Now putting the value of x=25° to find angle .

➡3x-2° ➡x+48°

➡3×25-2 ➡25°+48°

➡75-2 ➡73°

➡73°

⚫Now the sum of two consecutive angle of parallelogram is 180°.

➡Let that angle is @.(we can take any variable)

➡73°+@= 180°

➡@=180°-73°

➡@=107°

⚫Also opposite sides of parallelogram are equal.

✅Hence, the angles of parallelogram are 73°, 107°, 73° and 107°

✔Extra points⤵

✡Parallelogram:-

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

✡Property of parallelogram:-

• Opposite angles are equal.
• Opposite sides are equal and parallel.
• Diagonals bisect each other.
• Sum of any two adjacent angles is 180°

✡Formula of parallelogram:-

• Area of parallelogram= Base ×Height
• Perimeter= 2×(Sum of length of adjacent sides)

Hope this is helpful to you!