if opposite angles of a parallelogram is (3x-40) and 2x. find all angles
Answers
Answered by
9
☆ Solution:
- Let the opposite angles of the parallelogram be ∠A and ∠C.
- Given, opposite angles of a Parallelogram = (3x-40) and 2x.
We know that,
From the property of parallelogram.
Accordingly,
By transposing 2x to L.H.S and 40 to R.H.S
- The measure of angles are:-
∴ The opposite angles ( ∠A and ∠C ) of the parallelogram are 80°
- The measure of other opposite angles
(∠B and ∠D ) are:-
⟹ 180° - 80°
⟹ 100°
∴ ∠B and ∠D = 100°
☆ Now, Verification
⟹ ∠A + ∠B + ∠C + ∠D = 360°
⟹ 80° + 100° + 80° + 100° = 360°
⟹ 180 + 180 = 360
⟹ 360 = 360.
☆ Required Answer:
- ∠A = 80°
- ∠B = 100°
- ∠C = 80°
- ∠D = 100°
Similar questions