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Answer :
➥ The others angles are 80°, 100°, 80°, 100°
Given :
➤ Two consecutive Angles of a parallelogram are in the ratio 4:5.
To Find :
➤ The measure of all Angles = ?
Solution :
For solving this question, let's first know about parallelogram.
A parallelogram is also a Quadrilateral with two pairs of parallel sides.
- In a parallelogram the opposite sides of a parallelogram are equal in length.
- In the parallelogram the opposite angles are equal in measure.
- Sum of Angle of a Parallelogram is 180°.
Let ,
The angle of a Parallelogram be "A, B, C, D"
Then ,
The measure of ∠A be "4x" and the ∠B be "5x"
☕ To find the other angles of a Parallelogram, at first we need to find the value of x in 4x and 5x, then we will find the other angles of a parallelogram.
☁️ So let's find the value of x !
→ 5x + 4x = 180
→ 9x = 180
→ x = 180/9
→ x = 20
Now, we have the value of x
- x = 20
☃️ So let's find the other angles of a Parallelogram !
∠A = 4x
→ ∠A = 4 × 20
→ ∠A = 80
→ ∠B = 5x
→ ∠B = 5 × 20
→ ∠B = 100
As we know that the Parallelogram the opposite angles are equal in measure.
So ,
- ∠A = ∠C = 80
- ∠B = ∠D = 100
║Hence, the other angles of a Parallelogram is 80°, 100°, 80°, 100°.║
Answer:
The others angles are 80°, 100°, 80°, 100°
Given :
➤ Two consecutive Angles of a parallelogram are in the ratio 4:5.
To Find :
➤ The measure of all Angles = ?
Solution :
For solving this question, let's first know about parallelogram.
A parallelogram is also a Quadrilateral with two pairs of parallel sides.
In a parallelogram the opposite sides of a parallelogram are equal in length.
In the parallelogram the opposite angles are equal in measure.
Sum of Angle of a Parallelogram is 180°.
Let ,
The angle of a Parallelogram be "A, B, C, D"
Then ,
The measure of ∠A be "4x" and the ∠B be "5x"
☕ To find the other angles of a Parallelogram, at first we need to find the value of x in 4x and 5x, then we will find the other angles of a parallelogram.
☁️ So let's find the value of x !
→ 5x + 4x = 180
→ 9x = 180
→ x = 180/9
→ x = 20 \:
Now, we have the value of x
x = 20
☃️ So let's find the other angles of a Parallelogram !
∠A = 4x
→ ∠A = 4 × 20
→ ∠A = 80
→ ∠B = 5x
→ ∠B = 5 × 20
→ ∠B = 100
As we know that the Parallelogram the opposite angles are equal in measure.
So ,
∠A = ∠C = 80
∠B = ∠D = 100
║Hence, the other angles of a Parallelogram is 80°, 100°, 80°, 100
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