Question

If the adjacent angles of a parallelogram are a° and 2a°.
Find the measure of all the angles.​

Answer 1

Answer:

a degree + 2a degree = 180 degree

3a degree = 180 degree

a = 180 / 3

a= 60 degree

So the answer.. 2a = 2 x 60= 120 degrees

Angles are 120, 120, 60 and 60

Answer 2

Step-by-step explanation:

In a parallelogram, the sum of adjacent angles is always equal to 180°.

$= > 2a + a = 180 \\ = > 3a = 180 \\ = > a = \frac{180}{3} = 60$

Therfore,

angle 1 = a° = 60°

angle 2 = 2a° = 120°

angle 3 = angle 1 = 60° (opposite angles of parallelogram)

angle 4 = angle 2 = 120° (opposite angles of parallelogram)

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