Question

The measure of one angle of a parallelogram is 80°.What Are The

measures of the remaining angles
?​

Answer 1

Answer:

angle A + angle B = 180⁰(adjacent angles are supplementary)

80⁰+ B = 180⁰

B= 180⁰ - 80⁰

B = 100⁰

angle A = 180⁰

angle B = 100⁰

angle C = 80⁰(opposite angles equal)

angle D = 100⁰(opposite angles equal)

Answer 2

Answer :-

The measure of the angles of parallelogram are,

• 80°
• 100°
• 80°
• 100°

Step-by-step explanation :-

Let us assume the Parallelogram as ABCD, and the given 80° be ∠A

To Find,

• The measure of all angles of the parallelogram

Solution,

Given that,

• The measure of one angle is 80°

As we know that,

Sum of adjacent angles = 180°, therefore

∠A + ∠B = 180°

Let us assume the other adjacent angle as x,

⟹ 80° + x = 180°

⟹ x = 180° - 80°

⟹ x = 100° ★

Hence, the measure of other adjacent angle 100°.

The angles of a parallelogram are,

• ∠A = ∠C = 80° .... opposite angles a parallelogram are equal
• ∠B = ∠D = 100° .... opposite angles of a parallelogram are equal.

Hence, the angles are 80°, 100°, 80° and 100°