Question

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Answer 1

Answer:

x = 28

angles are 80,100,80,100

Step-by-step explanation:

Given two angles are (3x - 4) and (3x + 16).

We know that Sum of two adjacent angles of a parallelogram is 180°.

⇒ (3x - 4) + (3x + 16) = 180°

⇒ 3x - 4 + 3x + 16 = 180°

⇒ 6x + 12 = 180°

⇒ 6x = 168

⇒ x = 168/6

⇒ x = 28.

(i)

3x - 4

3(28) - 4

84 - 4

80.

(ii)

3x + 16

3(28) + 16

84 + 16

100.

Therefore:

The value of x = 28.

The angles are 80,100,80,100.

Hope it helps!

Answer 2

Hey There !!
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Your Answer :-

As we know that sum of adjacent angles of a parallelogram add up to 180 degrees as they are supplementary. So, we can say that ..

(3x - 4)° + (3x + 16)° = 180°

3x - 4 + 3x + 16 = 180°

6x + 12 = 180°

6x = (180 - 12)°

6x = 168°

$x = \frac{168}{6}$
x = 28

On substituting the values for x we can get the answer as follows :-

(3x - 4)°

= ( 3×28 - 4 )°

= 80°

( 3x + 16)°

= ( 3×28 + 16 )°

= 100°

We also know that opposite angles of the parallelogram are equal.
So, the angle opposite to the 80° angle will also be 80° and opposite 100° will also be 100°

May it helps uh
Be Brainly