Question

two adjacent angles of a parellelogram are in the ratio of 1:2. what are the measure of these angles

Answer 1

Answer:

The sum of 2 adjacent angles of a parallelogram is 180 degrees.

Let the angles are x and 2x.

$x + 2x = 180°$

$3x = 180$

$x = 60°$

Hence angles are x=60° and 2x = 120°

Answer 2

Answer:

The measures of the angles of the parallelogram are 60⁰ and 120⁰ respectively.

Given:

• Two adjacent angles of parallelogram are in the ratio of 1 : 2.

To find:

• The measures of the angles of the parallelogram.

Solution:

Let the constant be n.

Two adjacent angles of the parallelogram are n and 2n.

Sum of adjacent angles of parallelogram is 180⁰.

=> n + 2n = 180

=> 3n = 180

=> n = 180/3

=> n = 60⁰

The angles n = 60⁰ and 2n = 120⁰.

Therefore, the measures of the angles of the parallelogram are 60⁰ and 120⁰ respectively.

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Extra information:

Properties of the parallelogram:

• Opposite angles are congruent.

• Opposite sides are parallelogram and congruent.