Question

One angle of a parallelogram measures 30 degrees. What are the measures of the other three angles in the parallelogram?

Answer 1

30, 150 and 150 degrees are the 3 angles

Explanation:

In a parallelogram, opposite angles are congruent, meaning they have the same measure.

Since the opposite angle of a 30 degree angle is also 30 degrees, there are two angles that measure 30 degrees in the parallelogram.

Therefore, to find the measures of the other two angles in the parallelogram, we can subtract the sum of the two known 30 degree angles from 360 degrees (the sum of the angles in a quadrilateral).The sum of the two known angles is:

30 + 30 = 60 degrees

Subtracting this from 360 degrees, we get:

360 - 60 = 300 degrees

Since the opposite angles in a parallelogram are congruent, the other two angles in the parallelogram must also be congruent.

Therefore, we can divide the remaining 300 degrees equally between them:

300 / 2 = 150 degrees

So, the other two angles in the parallelogram measure 150 degrees each.

Answer 2

30°, 150° & 150°

Explanation:

Angles in a parallelogram add up to 360°

Given that one angle of the parallelogram is 30 degrees. The angle opposite to that is also 30 degrees.

30 + 30 = 60

360 - 60 = 300

300 ÷ 2 = 150 degrees each

∴ The bottom two angles are 150° and the top 2 are 30°