Question

The adjacent angles of parallelogram x degrees and (2x+30)degrees find all angles

Answer 1

Answer:

the angles are

Step-by-step explanation:

50,130,50,130

Answer 2

All angles is, A=50⁰, B=130⁰, C=50⁰, D=130⁰.

What are the adjacent angles?

• In geometry, two angles are adjacent if they have a common side and a common vertex.
• In other words, adjacent angles are directly next to each other and do not overlap.

What is the adjacent angles of a parallelogram?

• Similarly, ∠B + ∠C = 180°, ∠C + ∠D = 180° and ∠A + ∠B = 180°.
• Therefore, the sum of any two adjacent angles of a parallelogram is equal to 180°.
• Hence, it is proved that any two adjacent or consecutive angles of a parallelogram are supplementary.

What is the sum of adjacent angles?

• The adjacent angles will have the common side and the common vertex.
• Two angles are said to be supplementary angles if the sum of both the angles is 180 degrees.
• If the two supplementary angles are adjacent to each other then they are called linear pair.
• Sum of two adjacent supplementary angles = 180.

According to the question:

As we know sum of the adjacent angles of a parallelogram is equal to 180.

So, According to the question, x+2 x+30 = 180.

3 x=180-30.

x=150 / 3

X =50.

Therefore, angles are :

1.  x=50.

2. 2 x+30.

   =100+30.

   =130.

3. 50 (opposite angles are equal in parallelogram).

4. 130.

Hence, A=50⁰,B=130⁰,C=50⁰,D=130⁰.

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